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Journal of Medicine and Pharmacy","Tạp chí Y Dược học Cần Thơ",{"EN":487,"VI":488},"\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">04\u002F10\u002F2015 Ministry of Information and Communications allowed Can Tho journal of medicine and pharmacy to operate (102 \u002FGP-BTTTT)\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">07\u002F16\u002F2015 Can Tho journal of medicine and pharmacy is internationally recognized: ISSN 2354-1210\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">In 2016, The journal has been included in the list of medical science journals by The State Council for professorship which is awarded a work score of 0-0.5 points for a published article.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Can Tho Journal of Medicine and Pharmacy welcome original works that haven’t been submitted or published in other medical journals. Posts must contain content related to one of the journal’s categories.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The content published\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The journal is divided into 3 categories:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Scientific research article: are valuable scientific works, which have been researched and accepted.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Overview of medicine, biology and pharmacy: serving the objective of continuing training in the fields of medicine, biology and pharmacy; to systematize classical and modern knowledge.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Update information on new knowledge about medicine, biology, pharmacy in the country and in the world.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Scope\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Publication and introduction of scientific research in the fields:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Medicine (internal medicine, surgery, pediatrics, obstetrics and gynecology, odonto-stomatology, laboratory, oncology, traditional medicine, nursing).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Biology (genetics, biotechnology).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">+ Pharmacology (pharmaceutics, drug quality analysis-control, synthetic pharmaceutical chemistry, biochemistry, pharmacognosy, botany, clinical pharmacy).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- To enhance the quality of undergraduate, postgraduate education, scientifically researching and meet the necessary treatment in hospital.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Introducing the updated domestic and oversea information about science technology to promote scientific research and exchanging technology in local, other universities.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">- Exchanging pharmaceutical and medical information for social health developing in the Mekong Delta and Vietnam.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">The object\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Postgraduate students, student of Can Tho University of Medicine and Pharmacy, scientists from schools, research institutes, hospitals, health centers, pharmaceutical companies of the Mekong Delta; other provinces and regions in Vietnam and other country.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Address\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Headquarters of Can Tho Journal of Medicine and Pharmacy, located Scientific Research and International Cooperation Office: 179 Nguyen Van Cu Street, An Khanh Ward, Ninh Kieu District, Can Tho City, Vietnam.\u003C\u002Fspan>\u003C\u002Fp>","\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Ngày 16\u002F7\u002F2015, Tạp chí Y Dược học Cần Thơ được cấp chỉ số quốc tế: ISSN 2354-1210.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Từ tháng 4\u002F2016, Tạp chí đã được Hội đồng Giáo sư ngành Y đưa vào danh sách các tạp chí khoa học Y học được tính điểm công trình 0-0,5 điểm cho một bài báo đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Năm 2020 Tạp chí Y Dược học Cần Thơ đã được phê duyệt vào danh mục của các Hội đồng Giáo sư ngành Dược học được tính điểm công trình 0-0,5 điểm cho một bài báo đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ ra 12 số\u002Fnăm, 180-200 trang\u002Fsố.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Từ tháng 12\u002F2022 Tạp chí Y Dược học Cần Thơ là thành viên của hệ thống Crossref và từ tháng 01\u002F2023 tạp chí thực hiện bình duyệt online kín 2 chiều nhằm tăng tính minh bạch, tin cậy của các công trình nghiên cứu khoa học và đảm bảo tốt nhất chất lượng khoa học của bài viết.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tôn chỉ, mục đích và phạm vi của tạp chí\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tôn chỉ và mục đích hoạt động của tạp chí: xuất bản nhằm mục đích phổ biến kết quả từ các đề tài nghiên cứu khoa học; giao lưu trao đổi khoa học, chia sẻ kinh nghiệm, học tập, đồng thời cập nhật thông tin khoa học mới trong các lĩnh vực y, sinh, dược học trong và ngoài nước.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Phạm vi của tạp chí: Tạp chí xuất bản được chia thành 3 chuyên mục: (i) Bài báo nghiên cứu khoa học là kết quả công trình nghiên cứu khoa học có giá trị đã được triển khai nghiên cứu, (ii) Bài tổng quan y, sinh, dược học: phục vụ mục tiêu đào tạo liên tục trong lĩnh vực y, sinh, dược học; nhằm hệ thống hóa những kiến thức kinh điển và hiện đại; (iii) Thông tin cập nhật kiến thức mới về y, sinh, dược học trong nước và trên thế giới.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Chính sách truy cập mở\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ áp dụng chính sách truy cập mở đối với các bài báo đã xuất bản đến với độc giả, nhằm mở rộng cơ hội tiếp cận các kết quả nghiên cứu chất lượng cao và tăng cường trao đổi kiến thức. Tạp chí đăng tải trực tuyến (miễn phí) toàn văn các bài báo được công bố trên website của Tạp chí (https:\u002F\u002Ftapchi.ctump.edu.vn).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đạo đức xuất bản\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ cam kết tuân thủ đạo đức xuất bản phù hợp với các hướng dẫn và tiêu chuẩn của the Committee on Publication Ethics (COPE), tuân thủ các nguyên tắc của COPE’s Core Practices, Best Practices Guidelines for Journal Editors và Guidelines on Good Publication Practices.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Bản thảo bài báo chỉ được chấp nhận khi được tác giả chịu trách nhiệm chính cam kết các nội dung sau: Các nội dung của bản thảo chưa được đăng tải toàn bộ hoặc một phần ở các tạp chí khác; Tất cả các tác giả đều có đóng góp một cách đáng kể vào quá trình nghiên cứu hoặc chuẩn bị bản thảo và cùng chịu trách nhiệm về các nội dung của bản thảo; Tuân thủ các biện pháp đảm bảo đạo đức nghiên cứu (ví dụ thỏa thuận đồng ý tham gia nghiên cứu).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Cam kết bảo mật\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí cam kết thực hiện và tuân thủ các quy định của luật và các văn bản hướng dẫn liên quan đến bảo mật thông tin cá nhân trên không gian mạng. Các thông tin mà người dùng (tác giả, độc giả, biên tập viên, người phản biện) nhập vào các biểu mẫu trên Hệ thống Quản lý xuất bản trực tuyến của tạp chí chỉ được sử dụng vào các mục đích đã được tuyên bố rõ ràng và sẽ không được cung cấp cho bất kỳ bên thứ ba nào khác, hay dùng vào bất kỳ mục đích nào khác.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Phí gửi bài\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Lệ phí gửi đăng bài: 1.000.000đ\u002Fbài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Lệ phí gửi đăng nhanh: 1.500.000đ\u002Fbài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đối với tác giả là cán bộ viên chức thuộc Trường Đại học Y Dược Cần Thơ thì được hỗ trợ 50% lệ phí gửi đăng bài.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Đối với sinh viên thực hiện đề tài nghiên cứu khoa học cấp trường được hỗ trợ 100% lệ phí đăng bài ( Tác giả gửi đính kèm “ Quyết định về việc giao tổ chức thực hiện đề tài nghiên cứu khoa học cấp Trường của sinh viên”).\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Hình thức nộp lệ phí:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Tiền mặt:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Nộp trực tiếp tại Phòng Tài chính - Kế toán, Trường Đại học Y Dược Cần Thơ, số 179 Nguyễn Văn Cừ, P. An Khánh, Q. Ninh Kiều, thành phố Cần Thơ.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Chuyển khoản:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tên Tài khoản: Trường ĐHYD Cần Thơ, Số TK: 0111000115668, tại ngân hàng Vietcombank chi nhánh Cần Thơ.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Thời gian: Áp dụng từ ngày 01\u002F02\u002F2023.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">* Phí gửi bài không được hoàn trả khi bài viết bị từ chối hoặc tác giả xin rút bài viết.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Quy trình phản biện bài báo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tạp chí Y Dược học Cần Thơ thực hiện quy trình phản biện kín hai chiều nghiêm ngặt. Danh tính của những người phản biện không được tiết lộ cho các tác giả và ngược lại. Quy trình thẩm định bài báo đăng gồm các bước sau:\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tiếp nhận bản thảo\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Tác giả liên hệ gửi bản thảo đến Tạp chí qua hệ thống trực tuyến tại website: https:\u002F\u002Ftapchi.ctump.edu.vn. Hướng dẫn về cách đăng ký, gửi bài và chuẩn bị bản thảo được cung cấp trên website của Tạp chí.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Sàng lọc sơ bộ\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Sau khi Tòa soạn nhận được bài báo của tác giả, Ban Thư ký sẽ tiến hành kiểm tra sơ bộ bài báo (các yêu cầu về nội dung và hình thức). Những bài báo không đúng quy cách hoặc có nội dung không phù hợp hoặc vi phạm bản quyền sẽ bị từ chối (Ban Thư ký thông báo phản hồi đến tác giả trong vòng 1 tuần). Những bài báo đủ điều kiện, được Ban Thư ký tòa soạn chuyển đến Ban Biên tập có cùng chuyên môn với nội dung bài báo để đề xuất người phản biện. Thời gian kể từ khi Ban Biên tập nhận bài báo đến khi đề xuất người phản biện bài báo chậm nhất là 5 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Vòng phản biện\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Ban Thư ký gửi bài và yêu cầu phản biện đến 02 phản biện độc lập.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Các phản biện gởi nhận xét cho Ban Thư ký. Thời gian từ khi gửi bài cho phản biện đến khi nhận ý kiến của phản biện tối đa là 20 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Xử ký kết quả phản biện\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Nếu ý kiến đồng ý cho đăng và không cần chỉnh sửa, Ban Thư ký tiếp tục đăng bài theo qui trình.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Nếu ý kiến đồng ý đăng và cần chỉnh sửa, Ban Thư ký sẽ thông tin đến tác giả chỉnh sửa theo yêu cầu của người phản biện. Thời gian chỉnh sửa và gửi lại kéo dài không quá 2 tuần, từ khi tác giả bài báo nhận được thông tin (Quá trình này có thể lặp lại tối đa 2 lần\u002F1 bài báo). Khi có sự thống nhất, đồng ý của người phản biện; bài báo được tiếp tục đăng theo qui trình.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">3. Những bài báo có chất lượng không đạt yêu cầu, cả 2 phản biện không đồng ý cho đăng sẽ bị Tòa soạn từ chối đăng.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">Xuất bản\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">1. Ban Thư ký tổng hợp các bản thảo đã được tác giả hoàn thiện sau thẩm định trình Ban Biên tập xem xét, Tổng Biên tập phê duyệt, quyết định bài đăng theo các tiêu chí: sự phù hợp nội dung với tôn chỉ và mục đích, thể loại bài viết (ưu tiên các bài có bài có nghiên cứu chuyên sâu, hàm lượng khoa học cao), đóng góp mới bài báo, bài báo được ưu tiên đăng trong số gần nhất của Tạp chí theo thứ tự: tính thời sự, chất lượng bài báo và thời gian gửi bài.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">2. Ban Biên tập và Ban Thư ký biên tập bản thảo, chế bản, đọc rà soát lỗi. Thời gian hoàn thành từ 10-15 ngày.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">3. Ban Thư ký có trách nhiệm thông báo cho tác giả bài báo (bằng e-mail) về tình hình phê duyệt bài báo, thời gian, số kỳ, tập xuất bản bài báo theo qui định.\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>\u003Cp>\u003Cspan style=\"color: rgb(0, 0, 0);\">4. Danh sách bài báo theo số Tạp chí được in ấn và phát hành trong năm định kỳ được công bố chính thức trên website: https:\u002F\u002Ftapchi.ctump.edu.vn\u003C\u002Fspan>\u003C\u002Fp>\u003Cp>\u003Cbr>\u003C\u002Fp>",{"VOID":490},"wcQ1uqwAAAAJ","2023-05-30T08:17:21.868+00:00",[],[494],{"id":495,"createTime":28,"updateTime":28,"relativeEntities":496,"slug":28,"properties":497,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":507,"parentIds":508,"statistic":28},"6413896b-eca9-442b-a73f-182a58a0ce40",[],{"title":498,"address":501,"country":504,"abbreviation":505},{"EN":499,"VI":500},"Can Tho University of Medicine and Pharmacy","Trường Đại học Y Dược Cần Thơ",{"EN":502,"VI":503},"No 179, Nguyen Van Cu street, An Khanh ward, Ninh Kieu district, Can Tho city, Vietnam","Số 179, đường Nguyễn Văn Cừ, phường An Khánh, quận Ninh Kiều, thành phố Cần Thơ, Việt Nam",{"VOID":15},{"VOID":506},"ctump","http:\u002F\u002Fwww.ctump.edu.vn\u002F",[],[],"https:\u002F\u002Ftapchi.ctump.edu.vn\u002Findex.php\u002Fctump",{"impactFactor":32,"impactFactorByYear":512,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":514,"totalPublicationByYear":515,"totalCitation":520,"totalCitationByYear":521,"totalCitationPerPublication":108,"totalCitationPerPublicationByYear":523,"hindexLast5Year":45,"hindex":45},{"2022":513,"2023":111,"2024":106},0.01,1556,{"2020":47,"2021":516,"2022":517,"2023":518,"2024":519,"2025":122},57,306,801,358,161,{"2021":146,"2022":280,"2023":522},99,{"2021":524,"2022":318,"2023":104},0.23,{"impactFactor":28,"impactFactorByYear":28,"i10Index":123,"i10IndexLast5Year":123,"totalPublication":526,"totalPublicationByYear":527,"totalCitation":526,"totalCitationByYear":528,"totalCitationPerPublication":40,"totalCitationPerPublicationByYear":531,"hindexLast5Year":49,"hindex":49},476,{"0":205,"2019":123,"2021":139,"2022":459,"2023":451,"2024":357,"2025":49,"2026":48},{"2021":42,"2022":123,"2023":161,"2024":529,"2025":360,"2026":530},136,83,{"2021":105,"2022":513,"2023":532,"2024":127,"2025":533,"2026":534},0.62,25.43,13.83,{"id":536,"createTime":537,"updateTime":382,"relativeEntities":538,"slug":539,"properties":540,"entityType":25,"verifyStatus":26,"verifyTime":28,"verifyNote":28,"languages":552,"translateLanguages":28,"viewCount":133,"subjectFields":553,"manageAffiliations":554,"indexDatabases":555,"url":556,"thumbnailPath":557,"statistic":558,"gsStatistic":594,"type":55,"analyzePriority":28},"6984a56a-db70-403b-9cc4-4013e1ceaffa","2023-05-09T06:47:40.346+00:00",[],"T%E1%BA%A1p%20ch%C3%AD%20Nghi%C3%AAn%20c%E1%BB%A9u%20n%C6%B0%E1%BB%9Bc%20ngo%C3%A0i",{"country":541,"issn":542,"title":544,"introduce":547,"gsId":550},{"VOID":15},{"VOID":543},"25252445",{"EN":545,"VI":546},"VNU Journal of Foreign Studies","Tạp chí Nghiên cứu nước ngoài",{"EN":548,"VI":549},"{\"ops\":[{\"insert\":\"\\n\\nThe \\n\"},{\"attributes\":{\"italic\":true},\"insert\":\"VNU Journal of Science\"},{\"insert\":\"\\n was established in 1985 for the publication of national and international research papers in all fields of natural sciences and technology, social sciences and humanities. 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SCIE","scie",[915,813],"SCIE","https:\u002F\u002Fmjl.clarivate.com\u002Fsearch-results?issn=1382-4090",[918],"a410dee4-fcd0-43bf-ac42-c2f733ee737f",{"id":920,"indexDatabase":921,"url":926,"indexYears":927,"academicFieldIds":928,"indexDatabaseRanking":930},"0b3b2ebb-e9b2-4c37-8b6f-72d458689c4d",{"id":786,"createTime":28,"updateTime":28,"relativeEntities":922,"label":923,"description":924,"key":792,"publicationTags":925,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],"https:\u002F\u002Fwww.scopus.com\u002Fsourceid\u002F26323","1997-2025",[929],"8352ff21-7647-4fde-91af-4e74bab9539d","SCOPUS__Q1",{"impactFactor":32,"impactFactorByYear":932,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":933,"totalCitation":32,"totalCitationByYear":934,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":935,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"meta":937,"data":939},{"total":938},"1409",[940,1027,1109,1191,1285,1389,1470,1582,1663,1745],{"id":941,"createTime":942,"updateTime":943,"relativeEntities":944,"slug":945,"properties":946,"entityType":955,"verifyStatus":26,"verifyTime":943,"verifyNote":956,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":957,"fullTextUrl":28,"authors":958,"publicationType":975,"publisherRelationship":976,"citationCount":28,"citationInfo":28,"publishDate":1023,"publishYear":1024,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1025,"openAccess":28,"references":28,"isForceReanalyzing":1026},"00af7779-b9bd-47a0-b0d1-b2a9a2d8e442","2023-12-21T12:25:20.537+00:00","2025-02-19T09:53:09.982+00:00",[],"On-the-convergence-of-some-alternating-series",{"abstract":947,"title":949,"references":951,"doi":953},{"EN":948},"We establish a necessary and sufficient condition for the convergence of the series \n                  \n                    \n                  \n                  $\\sum_{n=1}^{\\infty} (-1)^{n}|\\sin(\\pi nx)|n^{-\\theta}$\n                 in terms of the rational approximations to x. In particular, it follows from our results that the series \n                  \n                    \n                  \n                  $\\sum_{n=1}^{\\infty} (-1)^{n}|\\sin n|\u002Fn$\n                 converges.",{"EN":950},"On the convergence of some alternating series",{"VOID":952},"Hata, M.: Rational approximations to π and some other numbers. Acta Arith. 63, 335–349 (1993)\nKhinchin, A.Ya.: Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der Diophantischen Approximationen. Math. Ann. 92, 115–125 (1924)\nKhinchin, A.Ya.: Continued Fractions. Dover, New York (1997). Translated from the 3rd Russian edition\nLiouville, J.: Sur des classes très-étendues de quantités dont la valeur n’est ni algébrique, ni même réductible à des irrationelles algébriques. J. Math. Pures Appl. 16, 133–142 (1851)\nMahler, K.: On the approximation of π. Indag. Math. 15, 30–42 (1953)\nMontgomery, H.L.: Ten Lectures on the Interface Between Analytic Number Theory and Harmonic Analysis. Am. Math. Soc., Providence (1994)\nPólya, G., Szegö, G.: Problems and Theorems in Analysis, vol. I. Springer, Berlin (1972)\nRoth, K.F.: Rational approximations to algebraic numbers. Mathematika 2, 1–20 (1955)\nSalikhov, V.Kh.: On the irrationality measure of π. Russ. Math. Surv. 63, 570–572 (2008). Translated from Russian",{"VOID":954},"10.1007\u002Fs11139-012-9381-y","PUBLICATION","Auto Verify","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-012-9381-y",[959],{"id":960,"sortIndex":32,"researcher":28,"roles":961,"affiliations":963,"properties":972,"displayName":974,"givenName":28,"familyName":28},"d9e87027-3f96-45bc-baf9-93225b923f93",[962],"AUTHOR",[964],{"id":965,"sortIndex":32,"affiliation":966,"properties":28},"916cab63-c1e1-4021-a130-219a4f176e25",{"id":965,"createTime":28,"updateTime":28,"relativeEntities":967,"slug":28,"properties":968,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":971,"statistic":28},[],{"title":969},{"VI":970},"Department of Mathematics, Towson University, Towson, USA",[],{"title":973},{"VI":974},"Angel V. Kumchev","ARTICLE",{"url":957,"publisher":977,"properties":1018},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":978,"slug":872,"properties":979,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":982,"manageAffiliations":987,"indexDatabases":998,"url":28,"thumbnailPath":28,"statistic":1013,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":980,"title":981},{"VOID":875},{"VOID":877},[983],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":984,"label":985,"description":986,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[988,993],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":989,"slug":28,"properties":990,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":992,"statistic":28},[],{"title":991},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":994,"slug":28,"properties":995,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":997,"statistic":28},[],{"title":996},{"EN":900},[],[999,1006],{"id":904,"indexDatabase":1000,"url":916,"indexYears":28,"academicFieldIds":1005,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1001,"label":1002,"description":1003,"key":913,"publicationTags":1004,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1007,"url":926,"indexYears":927,"academicFieldIds":1012,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1008,"label":1009,"description":1010,"key":792,"publicationTags":1011,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1014,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1015,"totalCitation":32,"totalCitationByYear":1016,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1017,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1019,"volume":1021},{"VOID":1020},"101-116",{"VOID":1022},"30","2012-07-18",2012,[915,930],false,{"id":1028,"createTime":1029,"updateTime":1030,"relativeEntities":1031,"slug":1032,"properties":1033,"entityType":955,"verifyStatus":26,"verifyTime":1030,"verifyNote":956,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1042,"fullTextUrl":28,"authors":1043,"publicationType":975,"publisherRelationship":1059,"citationCount":28,"citationInfo":28,"publishDate":1106,"publishYear":1107,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1108,"openAccess":28,"references":28,"isForceReanalyzing":1026},"00fa3008-6992-4d20-844f-3ff0de66ab1c","2024-01-08T04:14:48.959+00:00","2024-12-07T09:34:03.913+00:00",[],"On-Hecke-groups-Schwarzian-triangle-functions-and-a-class-of-hyper-elliptic-functions",{"abstract":1034,"title":1036,"references":1038,"doi":1040},{"EN":1035},"Let m be a positive integer \n                  \n                    \n                  \n                  $$\\ge $$\n                  \n                    \n                  \n                3 and \n                  \n                    \n                  \n                  $$\\lambda =2\\cos \\frac{\\pi }{m}$$\n                  \n                    \n                  \n                . The Hecke group \n                  \n                    \n                  \n                  $$\\mathfrak {G}(\\lambda )$$\n                  \n                    \n                  \n                 is generated by the fractional linear transformations \n                  \n                    \n                  \n                  $$\\tau + \\lambda $$\n                  \n                    \n                  \n                 and \n                  \n                    \n                  \n                  $$-\\frac{1}{\\tau }$$\n                  \n                    \n                  \n                 for \n                  \n                    \n                  \n                  $$\\tau $$\n                  \n                    \n                  \n                 in the upper half plane \n                  \n                    \n                  \n                  $$\\mathbb H$$\n                  \n                    \n                  \n                 of the complex plane \n                  \n                    \n                  \n                  $$\\mathbb C$$\n                  \n                    \n                  \n                . We consider a set of functions \n                  \n                    \n                  \n                  $$\\mathfrak {f}_0, \\mathfrak {f}_i$$\n                  \n                    \n                  \n                 and \n                  \n                    \n                  \n                  $$\\mathfrak {f}_{\\infty }$$\n                  \n                    \n                  \n                 automorphic with respect to \n                  \n                    \n                  \n                  $$\\mathfrak {G}(\\lambda )$$\n                  \n                    \n                  \n                , constructed from the conformal mapping of the fundamental domain of \n                  \n                    \n                  \n                  $$\\mathfrak {G}(\\lambda )$$\n                  \n                    \n                  \n                 to the upper half plane \n                  \n                    \n                  \n                  $$\\mathbb H$$\n                  \n                    \n                  \n                , and establish their connection with the Legendre functions and a class of hyper-elliptic functions. Many well-known classical identities associated with the cases of \n                  \n                    \n                  \n                  $$\\lambda =1$$\n                  \n                    \n                  \n                 and 2 are preserved. As an application, we will establish a set of identities expressing the reciprocal of \n                  \n                    \n                  \n                  $$\\pi $$\n                  \n                    \n                  \n                 in terms of the hypergeometric series.",{"EN":1037},"On Hecke groups, Schwarzian triangle functions and a class of hyper-elliptic functions",{"VOID":1039},"Andrews, G., Askey, R., Roy, R.: Special Functions. Cambridge University Press, Cambridge (1999)\nBerndt, B.C., Knopp, M.I.: Hecke’s Theory of Modular Forms and Dirichlet Series. World Scientific, Singapore (2008)\nBorwein, J.M., Borwein, P.B.: A cubic counterpart of Jacobi’s identity and AGM. Trans. Am. Math. Soc. 323, 691–701 (1991)\nChan, H.H., Chan, S.H., Liu, Z.-G.: Domb’s numbers and Ramanujan–Sato type series for \\(1\u002F\\pi \\). Adv. Math. 186, 396–410 (2004)\nErdelyi, A. (ed.): Higher Transcendental Functions, vol. 1. McGraw-Hill, New York (1953)\nHecke, E.: Modular Functions and Quadratic Forms. Lectures on Dirichlet Series. Vandenhoeck and Ruprecht, Gottingen (1983)\nLiu, Z.-G.: A theta function identity and applications. Ramanujan Rediscover. 14, 165–183 (2010)\nMaier, R.: Nonlinear differential equations satisfied by certain modular forms. Manuscr. Math. 134, 1–42 (2011)\nNehari, Z.: Conformal Mapping. Dover, New York (1975)\nShen, L.-C.: A note on the Schwarzian triangle functions. Complex Var. 34, 187–196 (1997)\nShen, L.-C.: On the theory of elliptic functions based on \\(_2F_1(1\u002F3,2\u002F3;1\u002F2;z)\\). Trans. Am. Math. Soc. 357(5), 2043–2058 (2004)\nShen, L.-C.: On the theory of elliptic functions based on the incomplete integral of \\(_2F_1(1\u002F4,3\u002F4;1\u002F2;z)\\). Ramanujan J. 34(2), 209–225 (2014)\nWeil, A.: Elliptic Functions According to Eisenstein and Kronecker. Springer, Berlin (1976)\nWhittaker, E.T., Watson, G.N.: A Course of Modern Analysis, 4th edn. Cambridge University Press, Cambridge (1966)",{"VOID":1041},"10.1007\u002Fs11139-015-9747-z","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-015-9747-z",[1044],{"id":1045,"sortIndex":32,"researcher":28,"roles":1046,"affiliations":1047,"properties":1056,"displayName":1058,"givenName":28,"familyName":28},"f117f5d5-f2a8-4e60-8f65-65e5d8645b81",[962],[1048],{"id":1049,"sortIndex":32,"affiliation":1050,"properties":28},"53b1ce0a-2b7f-4e82-aa0b-bbe8b5bd0307",{"id":1049,"createTime":28,"updateTime":28,"relativeEntities":1051,"slug":28,"properties":1052,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1055,"statistic":28},[],{"title":1053},{"VI":1054},"Department of Mathematics, University of Florida, Gainesville, USA",[],{"title":1057},{"VI":1058},"Li-Chien Shen",{"url":1042,"publisher":1060,"properties":1101},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1061,"slug":872,"properties":1062,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1065,"manageAffiliations":1070,"indexDatabases":1081,"url":28,"thumbnailPath":28,"statistic":1096,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1063,"title":1064},{"VOID":875},{"VOID":877},[1066],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1067,"label":1068,"description":1069,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1071,1076],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1072,"slug":28,"properties":1073,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1075,"statistic":28},[],{"title":1074},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1077,"slug":28,"properties":1078,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1080,"statistic":28},[],{"title":1079},{"EN":900},[],[1082,1089],{"id":904,"indexDatabase":1083,"url":916,"indexYears":28,"academicFieldIds":1088,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1084,"label":1085,"description":1086,"key":913,"publicationTags":1087,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1090,"url":926,"indexYears":927,"academicFieldIds":1095,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1091,"label":1092,"description":1093,"key":792,"publicationTags":1094,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1097,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1098,"totalCitation":32,"totalCitationByYear":1099,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1100,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1102,"volume":1104},{"VOID":1103},"609-638",{"VOID":1105},"39","2016-02-16",2016,[915,930],{"id":1110,"createTime":1111,"updateTime":1112,"relativeEntities":1113,"slug":1114,"properties":1115,"entityType":955,"verifyStatus":26,"verifyTime":1112,"verifyNote":956,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1124,"fullTextUrl":28,"authors":1125,"publicationType":975,"publisherRelationship":1141,"citationCount":28,"citationInfo":28,"publishDate":1188,"publishYear":1189,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1190,"openAccess":28,"references":28,"isForceReanalyzing":1026},"011e0942-d64e-4dc5-9e48-74f7160e4ce9","2024-02-20T11:41:38.331+00:00","2025-01-19T12:21:41.037+00:00",[],"Modular-forms-hypergeometric-functions-and-congruences",{"abstract":1116,"title":1118,"references":1120,"doi":1122},{"EN":1117},"Let \n                  \n                    \n                  \n                  $$A_k(n)=\\sum_{\\substack{i_1,i_2,\\ldots, i_k \\ge0\\\\ i_1+i_2+\\cdots+ i_k=n}}\\binom{2i_1}{i_1}^2 \\binom{2i_2}{i_2}^2\\cdots \\binom{2i_k}{i_k}^2, \\quad \\textrm{for } k,n\\in\\mathbb{N}. $$\n                \n               Using the theory of Stienstra and Beukers (Math. Ann., 271:269–304, 1985), we prove that the numbers A\n                3(n) and A\n                3(n−1)−16A\n                3(n−2) satisfy three term congruence relations similar to those satisfied by Apery numbers. Moreover, for k≥3 and p prime, we prove divisibility by p of some simple linear combinations of the numbers A\n                \n                  k\n                (n), for \n                  \n                    \n                  \n                  $n\\in \\mathbb{N}$\n                . To obtain this, we study the arithmetic properties of the Fourier coefficients of certain holomorphic and weakly holomorphic modular forms.",{"EN":1119},"Modular forms, hypergeometric functions and congruences",{"VOID":1121},"Beukers, F.: Another congruence for the Apéry numbers. J. Number Theory 25, 201–210 (1987)\nBol, G.: Invarianten linearer Differentialgleichungen. Abh. Math. Semin. Univ. Hamb. 16, 1–28 (1949)\nJarvis, F., Verrill, H.A.: Supercongruences for the Catalan–Larcombe–French numbers. Ramanujan J. 22, 171–186 (2010)\nKazalicki, M., Scholl, A.J.: Modular forms, de Rham cohomology and congruences. arXiv:1301.5876\nKontsevich, M., Zagier, D.: Periods, in Mathematics Unlimited—2001 and Beyond, pp. 771–808. Springer, Berlin (2001)\nMcCarthy, D., Osburn, R., Sahu, B.: Arithmetic properties for Apéry-like numbers. Preprint. arXiv:0906.3413\nOsburn, R., Sahu, B.: Congruences via modular forms. Proc. Am. Math. Soc. 139, 2375–2381 (2011)\nShimura, G.: Introduction to the arithmetic theory of automorphic functions. Publications of the Mathematical Society of Japan, vol. 11. Iwanami Shoten, Tokyo (1971). Kanô Memorial Lectures, No. 1\nStienstra, J., Beukers, F.: On the Picard–Fuchs equation and the formal Brauer group of certain elliptic K3-surfaces. Math. Ann. 271, 269–304 (1985)\nVerrill, H.A.: Congruences related to modular forms. Int. J. Number Theory 6, 1367–1390 (2010)\nZagier, D.: Integral solutions of Apéry-like recurrence equations. In: Groups and Symmetries. CRM Proc. Lecture Notes, vol. 47, pp. 349–366. Am. Math. Soc., Providence (2009)",{"VOID":1123},"10.1007\u002Fs11139-013-9477-z","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-013-9477-z",[1126],{"id":1127,"sortIndex":32,"researcher":28,"roles":1128,"affiliations":1129,"properties":1138,"displayName":1140,"givenName":28,"familyName":28},"818d6d74-6639-4c88-938e-0c8de2443060",[962],[1130],{"id":1131,"sortIndex":32,"affiliation":1132,"properties":28},"13b1a574-a6a8-4def-8197-05d7c576d6ff",{"id":1131,"createTime":28,"updateTime":28,"relativeEntities":1133,"slug":28,"properties":1134,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1137,"statistic":28},[],{"title":1135},{"VI":1136},"University of Zagreb, Zagreb, Croatia",[],{"title":1139},{"VI":1140},"Matija Kazalicki",{"url":1124,"publisher":1142,"properties":1183},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1143,"slug":872,"properties":1144,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1147,"manageAffiliations":1152,"indexDatabases":1163,"url":28,"thumbnailPath":28,"statistic":1178,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1145,"title":1146},{"VOID":875},{"VOID":877},[1148],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1149,"label":1150,"description":1151,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1153,1158],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1154,"slug":28,"properties":1155,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1157,"statistic":28},[],{"title":1156},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1159,"slug":28,"properties":1160,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1162,"statistic":28},[],{"title":1161},{"EN":900},[],[1164,1171],{"id":904,"indexDatabase":1165,"url":916,"indexYears":28,"academicFieldIds":1170,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1166,"label":1167,"description":1168,"key":913,"publicationTags":1169,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1172,"url":926,"indexYears":927,"academicFieldIds":1177,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1173,"label":1174,"description":1175,"key":792,"publicationTags":1176,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1179,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1180,"totalCitation":32,"totalCitationByYear":1181,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1182,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1184,"volume":1186},{"VOID":1185},"1-9",{"VOID":1187},"34","2013-07-02",2013,[915,930],{"id":1192,"createTime":1193,"updateTime":1193,"relativeEntities":1194,"slug":1195,"properties":1196,"entityType":955,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1205,"fullTextUrl":28,"authors":1206,"publicationType":975,"publisherRelationship":1235,"citationCount":28,"citationInfo":28,"publishDate":1282,"publishYear":1283,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1284,"openAccess":28,"references":28,"isForceReanalyzing":1026},"01559ad9-05f3-4bfc-b963-7689a2548ad2","2023-11-25T14:20:44.015+00:00",[],"On-a-conjecture-of-Heim-and-Neuhauser-on-some-polynomials-arising-from-modular-forms-and-related-to-Fibonacci-polynomials",{"abstract":1197,"title":1199,"references":1201,"doi":1203},{"EN":1198},"Heim and Neuhauser investigated some polynomials related to the Dedekind function. They proved the log-concavity of these polynomials and conjectured that they have only real zeros. We prove this conjecture, and deduce some identities for Fibonacci numbers and determine the modes of another sequence related to Fibonacci polynomials.",{"EN":1200},"On a conjecture of Heim and Neuhauser on some polynomials arising from modular forms and related to Fibonacci polynomials",{"VOID":1202},"Andreescu, T., Andrica, D.: Quadratic Diophatine Equations. Springer, New York (2015)\nAtiyah, M.: The logarithm of the Dedekind \\(\\eta \\)-function. Math. Ann. 278, 335–380 (1987)\nBenoumhani, M.: An elementary unified approach to prove some identities involving Fibonacci and Lucas numbers, submitted\nBenoumhani, M.: A sequence of binomial coefficients related to Lucas and Fibonacci numbers. J. Integer Seq. 6, 03.2.1 (2003)\nBostan, et al.: The Ising model: from elliptic curves to modular forms and Calabi–Yau equations. J. Phys. A 44, 045204 (2011)\nBoylan, M., et al.: On the vanishing of the Fourier coefficients of certain genus zero newforms. Int. J. Number Theory 07(05), 1229–1245 (2011)\nBrenti, F.: Unimodal, log-concave and Polya frequency sequences in combinatorics. Memoirs A. M. S 81, 413 (1989)\nBrown, J., Dilcher, K., Manna, D.: Series representations of theta functions in terms of a sequence of polynomials. Fibonacci Q. 4(38), 342–363 (2000)\nDarroch, J.N.: On the distribution of the number of successes in independent trials. Ann. Math. Stat. 35(3), 1317–1321 (1964)\nDilcher, K.: Hypergeometric functions and Fibonacci numbers. Fibonacci Q. 4(38), 342–363 (2000)\nFoster, J., Juillerat, J., Southwick, J.: The irreducibility of polynomials arising from the study of fourier coefficients of powers of the Dedekind eta function. J. Comb. Number Theory 10(3), 161–167 (2018)\nGhys, E.: Knots and dynamics. ICM (2006). Madrid (available online)\nHeim, B.: Powers of the Dedekind eta function and Hurwitz polynomials, KURENAI (2019), 222–233, available at http:\u002F\u002Fhdl.handle.net\u002F2433\u002F251807 J. Comb. Number Theory. Volume 10(3), 161–167 (2018)\nHeim, B., Neuhauser, M.: Formulas for the coefficients of polynomials assigned to arithmetic functions, arXiv:2010.07890\nHeim, B., Neuhauser, M.: On conjectures regarding the Nekrasov–Okounkov hook length formula. Arch. Math. 113, 355–366 (2019)\nHeim, B., Neuhauser, M.: Log-concavity of recursively defined polynomials. J. Integer Seq. 22, 19.1.5 (2019)\nHeim, B., Neuhauser, M.: Horizontal and vertical log-concavity. Res. Number Theory 12, pp (2021)\nHeim, B., Neuhauser, M., Weisse, A.: Records on the vanishing of fourier coefficients of powers of the Dedekind eta function. Res. Number theory 4, 32 (2018)\nHeim, B., Luca, F., Neuhauser, M.: Recurrence relations for polynomials obtained by arithmetic functions. Int. J. Number Theory 15(6), 1291–1303 (2019)\nHeim, B., Neuhauser, M., Rupp, F.: Fourier coefficients of powers of the Dedekind eta function. Ramanujan J. 48, 1–11 (2019)\nHeim, B., Neuhauser, M., Tröger, R.: Zeros of recursively defined polynomials. J. Differ. Equ. Appl. 26(4), 510–531 (2020)\nKoshy, T.: Fibonacci and Lucas Numbers with Applications. Pure and Applied Mathematics. Wiley, New York (2001)\nKurtz, D.C.: A note on concavity properties of triangular arrays of numbers. J. Comb. Theory Ser. A 13, 135–139 (1972)\nKurtz, D.C.: A sufficient condition for all the roots of a polynomial to be real. Am. Math. Mon. 99, 259–263 (1992)\nLaguerre, E.: Mémoire sur la théorie des équations numériques. J. Math. Pures Appl. 9, 99–146 (1883)\nLehmer, D.: The vanishing of Ramanujan’s \\(\\tau (n)\\). Duke Math. J. 14, 429–433 (1947)\nMordell, L.J.: On Mr. Ramanujan’s empirical expansions of modular functions. Proc. Camb. Philos. Soc. 19, 117–124 (1917)\nNewman, M.: An identity for the coefficients of certain modular forms. J. Lond. Math. Soc. 1(4), 488–493 (1955)\nPólya, G., Szegő, G.: In: Vols, I., II. (eds.) Problems and Theorems in Analysis. Springer, Berlin (1976)\nRamanujan, S.: On certain arithmetical functions. Trans. Camb. Philos. Soc. 22(9), 59–84 (1916)\nSagan, B.: Inductive and injective proofs of log concavity results. Discret. Math. 68, 281–292 (1988)\nScott, W.G.: Nucleon structure, duality and elliptic theta functions, Arkiv\nSerre, J.: Sur la lacunarité des puissances de \\(\\eta \\). Glasgow Math. J. 27, 203–221 (1985)\nSloane, N.: Online encyclopedia of integer sequences, www.research.att.com\u002F~njas\u002Fsequences\u002Findex.html\nSwamy, M.N.S.: On certain identities involving Fibonacci and Lucas numbers. Fibonacci Q. 35(3), 230–232 (1997)\nTanny, S., Zucker, M.: On a unimodal sequence of binomial coefficients. Discret. Math. 9, 79–89 (1974)\nTracy, C.: Introduction to exact solvable models in statistical mechanics. Proc. Symposia Pure Math. 49, 355–375 (1989)\nWilliams, K.: Historical remark on Ramanujan’s \\(\\tau \\) function. Am. Math. Mon. 122(1), 30–35 (2015)",{"VOID":1204},"10.1007\u002Fs11139-021-00515-7","https:\u002F\u002Flink.springer.com\u002F10.1007\u002Fs11139-021-00515-7",[1207,1222],{"id":1208,"sortIndex":32,"researcher":28,"roles":1209,"affiliations":1210,"properties":1219,"displayName":1221,"givenName":28,"familyName":28},"de715a7d-1894-4441-b70d-ff156d4a130a",[962],[1211],{"id":1212,"sortIndex":32,"affiliation":1213,"properties":28},"2cdfa068-d113-4754-a6ea-7cc0d95b9ce6",{"id":1212,"createTime":28,"updateTime":28,"relativeEntities":1214,"slug":28,"properties":1215,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1218,"statistic":28},[],{"title":1216},{"VI":1217},"Laboratory of Pure and Applied Mathematics, Department of Mathematics, University of M’sila, M’sila, Algeria",[],{"title":1220},{"VI":1221},"Yahia Zouareg",{"id":1223,"sortIndex":40,"researcher":28,"roles":1224,"affiliations":1225,"properties":1232,"displayName":1234,"givenName":28,"familyName":28},"6bca803f-d72d-4dd7-8f79-6f64b0e99e47",[962],[1226],{"id":1212,"sortIndex":32,"affiliation":1227,"properties":28},{"id":1212,"createTime":28,"updateTime":28,"relativeEntities":1228,"slug":28,"properties":1229,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1231,"statistic":28},[],{"title":1230},{"VI":1217},[],{"title":1233},{"VI":1234},"Moussa Benoumhani",{"url":1205,"publisher":1236,"properties":1277},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1237,"slug":872,"properties":1238,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1241,"manageAffiliations":1246,"indexDatabases":1257,"url":28,"thumbnailPath":28,"statistic":1272,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1239,"title":1240},{"VOID":875},{"VOID":877},[1242],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1243,"label":1244,"description":1245,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1247,1252],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1248,"slug":28,"properties":1249,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1251,"statistic":28},[],{"title":1250},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1253,"slug":28,"properties":1254,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1256,"statistic":28},[],{"title":1255},{"EN":900},[],[1258,1265],{"id":904,"indexDatabase":1259,"url":916,"indexYears":28,"academicFieldIds":1264,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1260,"label":1261,"description":1262,"key":913,"publicationTags":1263,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1266,"url":926,"indexYears":927,"academicFieldIds":1271,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1267,"label":1268,"description":1269,"key":792,"publicationTags":1270,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1273,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1274,"totalCitation":32,"totalCitationByYear":1275,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1276,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1278,"volume":1280},{"VOID":1279},"183-201",{"VOID":1281},"58","2021-09-29",2021,[915,930],{"id":1286,"createTime":1287,"updateTime":1287,"relativeEntities":1288,"slug":28,"properties":1289,"entityType":955,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1298,"fullTextUrl":28,"authors":1299,"publicationType":975,"publisherRelationship":1339,"citationCount":28,"citationInfo":28,"publishDate":1386,"publishYear":1387,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1388,"openAccess":28,"references":28,"isForceReanalyzing":1026},"0198f560-3e0f-4783-b7f5-998858fb5404","2024-01-14T17:26:42.687+00:00",[],{"abstract":1290,"title":1292,"references":1294,"doi":1296},{"EN":1291},"We extend the region of convergence of Euler products of Selberg zeta functions beyond the boundary \n                \n                  \n                \n                $$\\Re (s) = 1$$\n                \n               for congruence subgroups of \n                \n                  \n                \n                $${{\\,\\mathrm{SL}\\,}}_{2}(\\mathbb {Z})$$\n                \n               if they are associated with nontrivial irreducible unitary representations. The region depends on the size of the lowest eigenvalue of the Laplacian and extends to \n                \n                  \n                \n                $$\\Re (s) \\geqslant 3\u002F4$$\n                \n               under the Selberg eigenvalue conjecture. The method is based on the ideas of Ramanujan. For any unitary representation, we also establish a relation between the asymptotic behaviour of partial Euler products and the error term in the prime geodesic theorem.",{"EN":1293},"Euler products of Selberg zeta functions in the critical strip",{"VOID":1295},"Akatsuka, H.: The Euler product for the Riemann zeta-function in the critical strip. Kodai. Math. 40, 79–101 (2017)\nArakawa, T., Koyama, S., Nakasuji, M.: Arithmetic forms of Selberg zeta functions with applications to prime geodesic theorem. Proc. Jpn. Acad. Ser. A Math. Sci. 78, 120–125 (2002)\nBykovskiĭ, V.A.: Density theorems and the mean value of arithmetic functions in short intervals (Russian). Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 212 (1994). Anal. Teor. Chisel i Teor. Funktsiĭ. 12, 196:56–70; trans in J. Math. Sci. (N.Y.), 83(6):720–730 (1997)\nConrad, K.: Partial Euler products on the critical line. Canad. J. Math. 57, 267–297 (2005)\nEichler, M.: Lectures on modular correspondence. Lectures on Mathematics and Physics, vol. 9. Tata Inst. Fund. Res., Bombay, pp. 1955–1956\nHashimoto, Y.: Arithmetic expressions of Selberg’s zeta functions for congruence subgroups. J. Number Theory 122(2), 324–335 (2007)\nHejhal, D.: A classical approach to a well-known spectral correspondence on quaternion groups. Lect. Notes Math. 1135, 127–196 (1985)\nHuber, H.: Zur analytischen Theorie hyperbolischer Raumformen und Bewegungsgruppen. II. Math. Ann. 142(4), 385–398 (1961)\nIwaniec, H.: Prime geodesic theorem. J. Reine Angew. Math. 349, 136–159 (1984)\nKoyama, S.: Prime geodesic theorem for arithmetic compact surfaces. Int. Math. Res. Not. 1998(8), 383–388 (1998)\nLuo, W., Rudnick, Z., Sarnak, P.: On Selberg’s eigenvalue conjecture. Geom. Funct. Anal. 5(2), 387–401 (1995)\nLuo, W., Sarnak, P.: Quantum ergodicity of eigenfunctions on \\({\\rm PSL}_{2}(\\mathbf{Z}) \\backslash \\mathbf{H}^{2}\\). Publ. Math. Inst. Hautes Études Sci. 81, 207–237 (1995)\nMertens, F.: Ein Beitrag zur analytischen Zahlentheorie. J. Reine Angew. Math. 78, 46–62 (1874)\nRamanujan, S.: Highly composite numbers (annotated by J. L. Nicolas and G. Robin). Ramanujan J. 1, 119–153 (1997)\nSarnak, P.: Class numbers of indefinite binary quadratic forms. J. Number Theory 15(2), 229–247 (1982)\nSoundararajan, K., Young, M.P.: The prime geodesic theorem. J. Reine Angew. Math. 676, 105–120 (2013)\nVenkov, A.B.: Spectral Theory of Automorphic Functions. Trudy Math. Inst. Steklov, vol. 153. Am. Math. Soc. (1982)\nVenkov, A.B., Zograf, P.G.: Analogues of Artin’s factorization formulas in the spectral theory of automorphic functions associated with induced representations of Fuchsian groups. Math. USSR Izv. 21, 435–443 (1983)",{"VOID":1297},"10.1007\u002Fs11139-022-00550-y","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-022-00550-y",[1300,1324],{"id":1301,"sortIndex":32,"researcher":28,"roles":1302,"affiliations":1303,"properties":1321,"displayName":1323,"givenName":28,"familyName":28},"85c2469b-ed1e-4418-adb5-6c87c2eabbec",[962],[1304,1312],{"id":1305,"sortIndex":32,"affiliation":1306,"properties":28},"49e28edd-c790-4085-a3ba-5785840c3f2c",{"id":1305,"createTime":28,"updateTime":28,"relativeEntities":1307,"slug":28,"properties":1308,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1311,"statistic":28},[],{"title":1309},{"VI":1310},"Tsukuba Kaisei High School, Ushiku, Japan",[],{"id":1313,"sortIndex":40,"affiliation":1314,"properties":1320},"69fe7fc8-d28e-406d-b9fa-5b8de11ed862",{"id":1313,"createTime":28,"updateTime":28,"relativeEntities":1315,"slug":28,"properties":1316,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1319,"statistic":28},[],{"title":1317},{"VI":1318},"Department of Mathematics, California Institute of Technology, Pasadena, USA",[],{},{"title":1322},{"VI":1323},"Ikuya 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Koyama",{"url":1298,"publisher":1340,"properties":1381},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1341,"slug":872,"properties":1342,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1345,"manageAffiliations":1350,"indexDatabases":1361,"url":28,"thumbnailPath":28,"statistic":1376,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1343,"title":1344},{"VOID":875},{"VOID":877},[1346],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1347,"label":1348,"description":1349,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1351,1356],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1352,"slug":28,"properties":1353,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1355,"statistic":28},[],{"title":1354},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1357,"slug":28,"properties":1358,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1360,"statistic":28},[],{"title":1359},{"EN":900},[],[1362,1369],{"id":904,"indexDatabase":1363,"url":916,"indexYears":28,"academicFieldIds":1368,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1364,"label":1365,"description":1366,"key":913,"publicationTags":1367,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1370,"url":926,"indexYears":927,"academicFieldIds":1375,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1371,"label":1372,"description":1373,"key":792,"publicationTags":1374,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1377,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1378,"totalCitation":32,"totalCitationByYear":1379,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1380,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1382,"volume":1384},{"VOID":1383},"437-458",{"VOID":1385},"59","2022-02-17",2022,[915,930],{"id":1390,"createTime":1391,"updateTime":1392,"relativeEntities":1393,"slug":1394,"properties":1395,"entityType":955,"verifyStatus":26,"verifyTime":1392,"verifyNote":956,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1404,"fullTextUrl":28,"authors":1405,"publicationType":975,"publisherRelationship":1421,"citationCount":28,"citationInfo":28,"publishDate":1467,"publishYear":1468,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1469,"openAccess":28,"references":28,"isForceReanalyzing":1026},"01d9e92e-6c22-47b0-aeb9-0e99772ba5c0","2024-01-27T10:10:56.284+00:00","2025-02-16T03:30:51.355+00:00",[],"Generators-and-relations-of-the-graded-algebra-of-modular-forms",{"abstract":1396,"title":1398,"references":1400,"doi":1402},{"EN":1397},"We give bounds on the degree of generators for the ideal of relations of the graded algebras of modular forms with coefficients in \n                  \n                    \n                  \n                  $$\\mathbb {Q}$$\n                  \n                    \n                  \n                 of level \n                  \n                    \n                  \n                  $$\\Gamma _{0}(N)$$\n                  \n                    \n                  \n                 for \n                  \n                    \n                  \n                  $$N$$\n                  \n                    \n                  \n                 satisfying some congruence conditions, and of level \n                  \n                    \n                  \n                  $$\\Gamma _{1}(N)$$\n                  \n                    \n                  \n                . We give similar bounds for the graded \n                  \n                    \n                  \n                  $$\\mathbb {Z}[\\frac{1}{N}]$$\n                  \n                    \n                  \n                -algebra of modular forms of level \n                  \n                    \n                  \n                  $$\\Gamma _{1}(N)$$\n                  \n                    \n                  \n                 with coefficients in \n                  \n                    \n                  \n                  $$\\mathbb {Z}[\\frac{1}{N}]$$\n                  \n                    \n                  \n                . For a prime \n                  \n                    \n                  \n                  $$p \\ge 5$$\n                  \n                    \n                  \n                , we give a lower bound on the highest weight appearing in a minimal list of generators for \n                  \n                    \n                  \n                  $$\\Gamma _{0}(p)$$\n                  \n                    \n                  \n                , and we identify a set of generators for the graded algebra \n                  \n                    \n                  \n                  $$M(\\Gamma _{0}(p),\\mathbb {Z})$$\n                  \n                    \n                  \n                 of modular forms of level \n                  \n                    \n                  \n                  $$\\Gamma _{0}(p)$$\n                  \n                    \n                  \n                 with coefficients in \n                  \n                    \n                  \n                  $$\\mathbb {Z}$$\n                  \n                    \n                  \n                , showing that, in contrast to the cases studied in the study of Rustom (J. Number Theory 138:97–118, 2014), this weight is unbounded. We generalize a result of Serre concerning congruences between modular forms of level \n                  \n                    \n                  \n                  $$\\Gamma _{0}(p)$$\n                  \n                    \n                  \n                 and \n                  \n                    \n                  \n                  $$SL_2(\\mathbb {Z})$$\n                  \n                    \n                  \n                , and use it to identify a set of generators for \n                  \n                    \n                  \n                  $$M(\\Gamma _{0}(p),\\mathbb {Z})$$\n                  \n                    \n                  \n                , and we state two conjectures detailing further the structure of this algebra. Finally, we provide computations concerning the number of generators and relations for each of these algebras, as well as computational evidence for these conjectures.",{"EN":1399},"Generators and relations of the graded algebra of modular forms",{"VOID":1401},"Bertolini, M., Darmon, H., Prasanna, K.: \\(p\\)-adic L-functions and the coniveau filtration on Chow groups, preprint, http:\u002F\u002Fwww.math.mcgill.ca\u002Fdarmon\u002Fpub\u002FArticles\u002FResearch\u002F60.BDP5-coniveau\u002Fpaper.pdf\nDeligne, P.: Courbes elliptiques: formulaire d’après J. Tate, Modular functions of one variable, IV. In: Proceedings International Summer School University of Antwerp, 1972. Lecture Notes in Mathematics, vol. 476, pp. 53–73. Springer, Berlin, MR 0387292 (52 #8135) (1975)\nDeligne, P., Mumford, D.: The irreducibility of the space of curves of given genus, Inst. Hautes Études Sci. Publ. Math. 36, 75–109. MR 0262240 (41 #6850) (1969)\nDeligne, P., Rapoport, M: Les schémas de modules de courbes elliptiques, modular functions of one variable, II. In: Proceedings International Summer School University of Antwerp, 1972. Lecture Notes in Mathematics, vol. 349, pp. 143–316. Springer, Berlin (1973)\nGross, B.H.: A tameness criterion for Galois representations associated to modular forms (mod \\(p\\)). Duke Math. J. 61(2), 445–517 (1990)\nKilbourn, T.: Congruence properties of Fourier coefficients of modular forms, ProQuest LLC, Ann Arbor, MI, Thesis (Ph.D.). University of Illinois at Urbana-Champaign. MR 2711108 (2007)\nKilford, L.J.P.: Modular forms, Imperial College Press, London, 2008, A classical and computational introduction. MR 2441106 (2009m:11001)\nKöhler, G.: Springer Monographs in Mathematics. Eta products and theta series identities. Springer, Heidelberg (2011)\nMiyake, T.: Modular forms, english ed., Springer Monographs in Mathematics, Springer, Berlin (2006). Translated from the 1976 Japanese original by Yoshitaka Maeda. MR 2194815 (2006g:11084)\nMumford, D.: Varieties defined by quadratic equations. Questions on Algebraic Varieties (C.I.M.E., III Ciclo, Varenna, 1969), Edizioni Cremonese, Rome, 1970, pp. 29–100. MR 0282975 (44 #209)\nRustom, N.: Generators of graded rings of modular forms, J. Number Theory 138, 97–118. MR 3168924 (2014)\nScholl, A.J.: On the algebra of modular forms on a congruence subgroup. Math. Proc. Camb. Philos. Soc. 86(3), 461–466 (1979)\nSerre, J.-P.: Formes modulaires et fonctions zêta \\(p\\)-adiques, Modular functions of one variable, III. In: Proceedings International Summer School University of Antwerp. Lecture Notes in Mathematics, vol. 350, pp. 191–268. Springer, Berlin. MR 0404145 (53 #7949a) (1973)\nSilverman, J.H.: The arithmetic of elliptic curves, 2nd edn. Graduate Texts in Mathematics, vol. 106. Springer, Dordrecht. MR 2514094 (2010i:11005) (2009)\nSaito, H., Suda, T.: An explicit structure of the graded ring of modular forms of small level (pre-print), arXiv:1108.3933v3 [math.NT] (2011)\nWagreich, P.: Algebras of automorphic forms with few generators, Trans. Am. Math. Soc. 262(2), 367–389. MR 586722 (82e:10044) (1980)\nWagreich, P.: Automorphic forms and singularities with \\({\\mathbf{C}}^{\\ast } \\)-action, Illinois. J. Math. 25(3), 359–382. MR 620423 (82m:10045) (1981)",{"VOID":1403},"10.1007\u002Fs11139-015-9674-z","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-015-9674-z",[1406],{"id":1407,"sortIndex":32,"researcher":28,"roles":1408,"affiliations":1409,"properties":1418,"displayName":1420,"givenName":28,"familyName":28},"5e6762a4-b934-4791-b995-cc8dd14501b7",[962],[1410],{"id":1411,"sortIndex":32,"affiliation":1412,"properties":28},"3174b980-d26d-485b-b0e0-82778c721b57",{"id":1411,"createTime":28,"updateTime":28,"relativeEntities":1413,"slug":28,"properties":1414,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1417,"statistic":28},[],{"title":1415},{"VI":1416},"Department of Mathematical Sciences, University of Copenhagen, Copenhagen Ø, Denmark",[],{"title":1419},{"VI":1420},"Nadim Rustom",{"url":1404,"publisher":1422,"properties":1463},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1423,"slug":872,"properties":1424,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1427,"manageAffiliations":1432,"indexDatabases":1443,"url":28,"thumbnailPath":28,"statistic":1458,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1425,"title":1426},{"VOID":875},{"VOID":877},[1428],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1429,"label":1430,"description":1431,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1433,1438],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1434,"slug":28,"properties":1435,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1437,"statistic":28},[],{"title":1436},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1439,"slug":28,"properties":1440,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1442,"statistic":28},[],{"title":1441},{"EN":900},[],[1444,1451],{"id":904,"indexDatabase":1445,"url":916,"indexYears":28,"academicFieldIds":1450,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1446,"label":1447,"description":1448,"key":913,"publicationTags":1449,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1452,"url":926,"indexYears":927,"academicFieldIds":1457,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1453,"label":1454,"description":1455,"key":792,"publicationTags":1456,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1459,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1460,"totalCitation":32,"totalCitationByYear":1461,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1462,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1464,"volume":1466},{"VOID":1465},"315-338",{"VOID":1105},"2015-02-20",2015,[915,930],{"id":1471,"createTime":1472,"updateTime":1473,"relativeEntities":1474,"slug":1475,"properties":1476,"entityType":955,"verifyStatus":26,"verifyTime":1473,"verifyNote":956,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1485,"fullTextUrl":28,"authors":1486,"publicationType":975,"publisherRelationship":1532,"citationCount":28,"citationInfo":28,"publishDate":1579,"publishYear":1580,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1581,"openAccess":28,"references":28,"isForceReanalyzing":1026},"02529e71-b7b0-4939-a84c-4823231c05a4","2024-01-09T04:48:37.203+00:00","2025-02-05T10:10:11.577+00:00",[],"Congruences-modulo-11-for-broken-5-diamond-partitions",{"abstract":1477,"title":1479,"references":1481,"doi":1483},{"EN":1478},"The notion of broken k-diamond partitions was introduced by Andrews and Paule in 2007. For a fixed positive integer k, let \n                  \n                    \n                  \n                  $$\\Delta _k(n)$$\n                  \n                    \n                  \n                 denote the number of broken k-diamond partitions of n. Recently, Paule and Radu conjectured two relations on \n                  \n                    \n                  \n                  $$\\Delta _5(n)$$\n                  \n                    \n                  \n                 which were proved by Xiong and Jameson, respectively. In this paper, employing these relations, we prove that, for any prime p with \n                  \n                    \n                  \n                  $$p\\equiv 1\\ (\\mathrm{mod}\\ 4)$$\n                  \n                    \n                  \n                , there exists an integer \n                  \n                    \n                  \n                  $$\\lambda (p)\\in \\{2,\\ 3,\\ 5,\\ 6,\\ 11\\}$$\n                  \n                    \n                  \n                 such that, for \n                  \n                    \n                  \n                  $$n, \\alpha \\ge 0$$\n                  \n                    \n                  \n                , if \n                  \n                    \n                  \n                  $$p\\not \\mid (2n+1)$$\n                  \n                    \n                  \n                , then \n                  \n                    \n                  \n                  $$\\begin{aligned} \\Delta _5\\left( 11p^{\\lambda (p)(\\alpha +1)-1} n+\\frac{11p^{\\lambda (p)(\\alpha +1)-1}+1}{2}\\right) \\equiv 0\\ (\\mathrm{mod}\\ 11). \\end{aligned}$$\n                  \n                    \n                  \n                Moreover, some non-standard congruences modulo 11 for \n                  \n                    \n                  \n                  $$\\Delta _5(n)$$\n                  \n                    \n                  \n                 are deduced. For example, we prove that, for \n                  \n                    \n                  \n                  $$\\alpha \\ge 0$$\n                  \n                    \n                  \n                , \n                  \n                    \n                  \n                  $$\\Delta _5\\left( \\frac{11\\times 5^{5\\alpha }+1}{2}\\right) \\equiv 7\\ (\\mathrm{mod}\\ 11)$$\n                  \n                    \n                  \n                .",{"EN":1480},"Congruences modulo 11 for broken 5-diamond partitions",{"VOID":1482},"Andrews, G.E., Paule, P.: MacMahon’s partition analysis XI: broken diamonds and modular forms. Acta Arith. 126, 281–294 (2007)\nChan, S.H.: Some congruences for Andrews-Paule’s broken \\(2\\)-diamond partitions. Discrete Math. 308, 5735–5741 (2008)\nCui, S.P., Gu, N.S.S.: Congruences for broken 3-diamond and 7 dots bracelet partitions. Ramanujan J. 35, 165–178 (2014)\nHirschhorn, M.D., Sellers, J.A.: On recent congruence results of Andrews and Paule. Bull. Austral. Math. Soc. 75, 121–126 (2007)\nLin, B.L.S.: Elementary proofs of parity results for broken 3-diamond partitions. J. Number Theory 135, 1–7 (2014)\nLin, B.L.S., Wang, A.Y.Z.: Elementary proofs of Radu and Sellers’ results for broken 2-diamond partitions. Ramanujan J. 37, 291–297 (2015)\nRadu, S., Sellers, J.A.: Parity results for broken \\(k\\)-diamond partitions and \\((2k+1)\\)-cores. Acta Arith. 146, 43–52 (2011)\nRadu, S., Sellers, J.A.: An extensive analysis of the parity of broken \\(3\\)-diamond partitions. J. Number Theory 133, 3703–3716 (2013)\nYao, O.X.M., Wang, Y.J.: Newman’s identity and infinite families of congruences modulo 7 for broken 3-diamond partitions, Ramanujan J. (2016). doi:10.1007\u002Fs11139-016-9801-5\nXia, E.X.W.: New congruences modulo powers of 2 for broken 3-diamond partitions and 7-core partitions. J. Number Theory 141, 119–135 (2014)\nXia, E.X.W.: Infinite families of congruences modulo 7 for broken 3-diamond partitions. Ramanujan J. 40, 389–403 (2016)\nXia, E.X.W.: More infinite families of congruences modulo 5 for broken 2-diamond partitions. J. Number Theory 170, 250–262 (2017)\nYao, O.X.M.: New parity results for broken 11-diamond partitions. J. Number Theory 140, 267–276 (2014)\nPaule, P., Radu, S.: Infinite families of strange partition congruences for broken 2-diamonds. Ramanujan J. 23, 409–416 (2010)\nXiong, X.: Two congruences involving Andrews-Paule’s broken \\(3\\)-diamond partitions and 5-diamond partitions. Proc. Jpn. Acad. Ser. A (Math. Sci.) 87, 65–68 (2011)\nJameson, M.: Congruences for broken \\(k\\)-diamond partitions. Ann. Combin. 17, 333–338 (2013)",{"VOID":1484},"10.1007\u002Fs11139-017-9894-5","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-017-9894-5",[1487,1502,1517],{"id":1488,"sortIndex":32,"researcher":28,"roles":1489,"affiliations":1490,"properties":1499,"displayName":1501,"givenName":28,"familyName":28},"97692f4c-12b9-4513-993c-a9086c47cf7e",[962],[1491],{"id":1492,"sortIndex":32,"affiliation":1493,"properties":28},"1e8b4e6e-55a9-4311-96ba-504fccb5ba83",{"id":1492,"createTime":28,"updateTime":28,"relativeEntities":1494,"slug":28,"properties":1495,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1498,"statistic":28},[],{"title":1496},{"VI":1497},"School of Business Information, Shanghai University of International Business and Economics, Shanghai, People’s Republic of China",[],{"title":1500},{"VI":1501},"Eric H. Liu",{"id":1503,"sortIndex":40,"researcher":28,"roles":1504,"affiliations":1505,"properties":1514,"displayName":1516,"givenName":28,"familyName":28},"3b14379c-de41-460b-bb5c-2dd53408bf47",[962],[1506],{"id":1507,"sortIndex":32,"affiliation":1508,"properties":28},"978b7f78-a214-4415-8aaa-cb5d2d94dc1d",{"id":1507,"createTime":28,"updateTime":28,"relativeEntities":1509,"slug":28,"properties":1510,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1513,"statistic":28},[],{"title":1511},{"VI":1512},"Department of Mathematics, Penn State University, University Park, USA",[],{"title":1515},{"VI":1516},"James A. Sellers",{"id":1518,"sortIndex":123,"researcher":28,"roles":1519,"affiliations":1520,"properties":1529,"displayName":1531,"givenName":28,"familyName":28},"14764801-f9e1-4021-9727-92d66819d7ad",[962],[1521],{"id":1522,"sortIndex":32,"affiliation":1523,"properties":28},"2e0b1008-3c55-4843-9e78-13a3cbb5f6c3",{"id":1522,"createTime":28,"updateTime":28,"relativeEntities":1524,"slug":28,"properties":1525,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1528,"statistic":28},[],{"title":1526},{"VI":1527},"Department of Mathematics, Jiangsu University, Jiangsu, People’s Republic of China",[],{"title":1530},{"VI":1531},"Ernest X. W. Xia",{"url":1485,"publisher":1533,"properties":1574},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1534,"slug":872,"properties":1535,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1538,"manageAffiliations":1543,"indexDatabases":1554,"url":28,"thumbnailPath":28,"statistic":1569,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1536,"title":1537},{"VOID":875},{"VOID":877},[1539],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1540,"label":1541,"description":1542,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1544,1549],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1545,"slug":28,"properties":1546,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1548,"statistic":28},[],{"title":1547},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1550,"slug":28,"properties":1551,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1553,"statistic":28},[],{"title":1552},{"EN":900},[],[1555,1562],{"id":904,"indexDatabase":1556,"url":916,"indexYears":28,"academicFieldIds":1561,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1557,"label":1558,"description":1559,"key":913,"publicationTags":1560,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1563,"url":926,"indexYears":927,"academicFieldIds":1568,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1564,"label":1565,"description":1566,"key":792,"publicationTags":1567,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1570,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1571,"totalCitation":32,"totalCitationByYear":1572,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1573,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1575,"volume":1577},{"VOID":1576},"151-159",{"VOID":1578},"46","2017-04-26",2017,[915,930],{"id":1583,"createTime":1584,"updateTime":1585,"relativeEntities":1586,"slug":1587,"properties":1588,"entityType":955,"verifyStatus":26,"verifyTime":1585,"verifyNote":956,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1597,"fullTextUrl":28,"authors":1598,"publicationType":975,"publisherRelationship":1614,"citationCount":28,"citationInfo":28,"publishDate":1661,"publishYear":1580,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1662,"openAccess":28,"references":28,"isForceReanalyzing":1026},"02a29e07-a9bb-4394-8cee-7d1b9efbd5d8","2023-12-19T13:50:01.353+00:00","2024-12-21T17:33:29.821+00:00",[],"On-the-Selmer-group-attached-to-a-modular-form-and-an-algebraic-Hecke-character",{"abstract":1589,"title":1591,"references":1593,"doi":1595},{"EN":1590},"We construct an Euler system of generalized Heegner cycles to bound the Selmer group associated to a modular form and an algebraic Hecke character. The main argument is based on Kolyvagin’s method adapted by Bertolini and Darmon (J Reine Angew Math 412:63–74, 1990) and by Nekovář (Invent Math 107(1):99–125, 1992), while the key object of the Euler system, the generalized Heegner cycles were first considered by Bertolini et al. (Duke Math J 162(6):1033–1148, 2013).",{"EN":1592},"On the Selmer group attached to a modular form and an algebraic Hecke character",{"VOID":1594},"Beĭlinson, A.A.: Height pairing between algebraic cycles. In: \\(K\\)-Theory, Arithmetic and Geometry (Moscow, 1984–1986). Lecture Notes in Mathematics, vol. 1289, pp. 1–25. Springer, Berlin (1987)\nBertolini, M., Darmon, H.: Kolyvagin’s descent and Mordell–Weil groups over ring class fields. J. Reine Angew. Math. 412, 63–74 (1990)\nBertolini, M., Darmon, H., Prasanna, K.: Chow-Heegner points on CM elliptic curves and values of \\(p\\)-adic \\(L\\)-functions. Int. Math. Res. Not. 2014(3), 745–793 (2014)\nBertolini, M., Darmon, H., Prasanna, K.: Generalized Heegner cycles and \\(p\\)-adic Rankin \\(L\\)-series. Duke Math. J. 162(6), 1033–1148 (2013)\nBloch, S., Kato, K.: \\(L\\)-functions and Tamagawa numbers of motives. In: The Grothendieck Festschrift, vol. I. Progress in Mathematics, vol. 86, pp. 333–400. Birkhäuser, Boston (1990)\nColmez, P.: Fonctions \\({L}\\) \\(p\\)-adiques. Séminaire Bourbaki. 41:21–58 (1998–1999)\nDeligne, P.: Formes Modulaires et Representations de GL(2). In: Modular Functions of One Variable II. Lecture Notes in Mathematics, vol. 349, pp. 55–105. Springer, Berlin (1973)\nElias, Y.: Kolyvagin’s method for Chow groups of Kuga-Sato varieties over ring class fields. Ann. Math. Qué. 39(2), 147–167 (2015)\nGross, B.H.: Arithmetic on Elliptic Curves with Complex Multiplication. PhD Thesis, Harvard University (1980)\nGross, B.H.: Heegner points on \\(X_0(N)\\). In: Modular forms (Durham, 1983). Ellis Horwood Series in Mathematics and its Applications: Statistics, Operational Research, pp. 87–105. Horwood, Chichester (1984)\nGross, B.H.: Kolyvagin’s work on modular elliptic curves. In: \\(L\\)-Functions and Arithmetic (Durham, 1989). London Mathematical Society Lecture Note Series, vol. 153, pp. 235–256. Cambridge University Press, Cambridge (1991)\nGross, B.H., Zagier, D.B.: Heegner points and derivatives of L-series. Invent. Math. 84(2), 225–320 (1986)\nJannsen, U.: Algebraic cycles, K-theory, and extension classes. In: Mixed Motives and Algebraic K-Theory. Lecture Notes in Mathematics, vol. 1400, pp. 57–188. Springer, Berlin (1990)\nKolyvagin, V.A.: Euler Systems. The Grothendieck Festschrift, vol. 2. Birkhäuser, Boston (1990)\nLang, S.: Fundamentals of Diophantine Geometry. Springer, Berlin (1983)\nMilne, J.S.: Arithmetic Duality Theorems. Perspectives in Mathematics. Academic Press, New York (1986)\nNekovář, J.: Kolyvagin’s method for Chow groups of Kuga-Sato varieties. Invent. Math. 107(1), 99–125 (1992)\nNekovář, J.: On the p-adic height of Heegner cycles. Math. Ann. 302(1), 609–686 (1995)\nPerrin-Riou, B.: Points de Heegner et dérivées de fonctions \\(L\\) p-adiques. Invent. Math. 89(3), 455–510 (1987)\nSchneider, P.: Introduction to the Beilinson conjectures. Perspect. Math. 4, 1–36 (1988)\nSchoen, C.: On the computation of the cycle class map for nullhomologous cycles over the algebraic closure of a finite field. Ann. Sci.éc. Norm. Supér. 28(1), 1–50 (1995)\nScholl, A.J.: Motives for modular forms. Invent. Math. 100(1), 419–430 (1990)\nShnidman, A.: p-Adic heights of generalized Heegner cycles. arXiv:1407.0785v2, pp. 1–34 (2014)\nSuzuki, M.: Group Theory. Grundlehren der mathematischen Wissenschaften, vol. 1. Springer, Berlin (1982)",{"VOID":1596},"10.1007\u002Fs11139-016-9866-1","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-016-9866-1",[1599],{"id":1600,"sortIndex":32,"researcher":28,"roles":1601,"affiliations":1602,"properties":1611,"displayName":1613,"givenName":28,"familyName":28},"c1e761e3-6e85-40dc-9bdb-7c40beb86bb7",[962],[1603],{"id":1604,"sortIndex":32,"affiliation":1605,"properties":28},"c2aeceb8-49f4-401e-8663-eea5b93b25f2",{"id":1604,"createTime":28,"updateTime":28,"relativeEntities":1606,"slug":28,"properties":1607,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1610,"statistic":28},[],{"title":1608},{"VI":1609},"Department of Mathematics, McGill University, Montreal, Canada",[],{"title":1612},{"VI":1613},"Yara Elias",{"url":1597,"publisher":1615,"properties":1656},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1616,"slug":872,"properties":1617,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1620,"manageAffiliations":1625,"indexDatabases":1636,"url":28,"thumbnailPath":28,"statistic":1651,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1618,"title":1619},{"VOID":875},{"VOID":877},[1621],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1622,"label":1623,"description":1624,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1626,1631],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1627,"slug":28,"properties":1628,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1630,"statistic":28},[],{"title":1629},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1632,"slug":28,"properties":1633,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1635,"statistic":28},[],{"title":1634},{"EN":900},[],[1637,1644],{"id":904,"indexDatabase":1638,"url":916,"indexYears":28,"academicFieldIds":1643,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1639,"label":1640,"description":1641,"key":913,"publicationTags":1642,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1645,"url":926,"indexYears":927,"academicFieldIds":1650,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1646,"label":1647,"description":1648,"key":792,"publicationTags":1649,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1652,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1653,"totalCitation":32,"totalCitationByYear":1654,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1655,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1657,"volume":1659},{"VOID":1658},"141-169",{"VOID":1660},"45","2017-01-20",[915,930],{"id":1664,"createTime":1665,"updateTime":1666,"relativeEntities":1667,"slug":1668,"properties":1669,"entityType":955,"verifyStatus":26,"verifyTime":1666,"verifyNote":956,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1678,"fullTextUrl":28,"authors":1679,"publicationType":975,"publisherRelationship":1695,"citationCount":28,"citationInfo":28,"publishDate":1742,"publishYear":1743,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1744,"openAccess":28,"references":28,"isForceReanalyzing":1026},"0351e4da-85a8-416b-911b-ea647f2fa61a","2024-02-09T07:55:04.642+00:00","2024-12-28T11:00:51.250+00:00",[],"On-the-distribution-of-the-longest-run-in-number-partitions",{"abstract":1670,"title":1672,"references":1674,"doi":1676},{"EN":1671},"We consider the distribution of the longest run of equal elements in number partitions (equivalently, the distribution of the largest gap between subsequent elements); in a recent paper, Mutafchiev proved that the distribution of this random variable (appropriately rescaled) converges weakly. The corresponding distribution function is closely related to the generating function for number partitions. In this paper, this problem is considered in more detail—we study the behavior at the tails (especially the case that the longest run is comparatively small) and extend the asymptotics for the distribution function to the entire interval of possible values. Additionally, we prove a local limit theorem within a suitable region, i.e. when the longest run attains its typical order n\n                        1\u002F2, and we observe another phase transition that occurs when the largest gap is of order n\n                        1\u002F4: there, the conditional probability that the longest run has length d, given that it is ≤d, jumps from 1 to 0. Asymptotics for the mean and variance follow immediately from our considerations.",{"EN":1673},"On the distribution of the longest run in number partitions",{"VOID":1675},"Andrews, G.E.: The Theory of Partitions. Cambridge Mathematical Library. Cambridge University Press, Cambridge (1998)\nApostol, T.M.: Modular Functions and Dirichlet Series in Number Theory. Graduate Texts in Mathematics, vol. 41, 2nd edn. Springer, New York (1990)\nBrennan, C., Knopfmacher, A., Wagner, S.: The distribution of ascents of size d or more in partitions of n. Comb. Probab. Comput. 17(4), 495–509 (2008)\nCorteel, S., Pittel, B., Savage, C.D., Wilf, H.S.: On the multiplicity of parts in a random partition. Random Struct. Algorithms 14(2), 185–197 (1999)\nErdős, P., Lehner, J.: The distribution of the number of summands in the partitions of a positive integer. Duke Math. J. 8, 335–345 (1941)\nErdős, P., Szalay, M.: On the statistical theory of partitions. In: Topics in Classical Number Theory, vol. I, II, Budapest, 1981. Colloq. Math. Soc. János Bolyai, vol. 34, pp. 397–450. North-Holland, Amsterdam (1984)\nFristedt, B.: The structure of random partitions of large integers. Trans. Am. Math. Soc. 337(2), 703–735 (1993)\nGoh, W.M.Y., Schmutz, E.: The number of distinct part sizes in a random integer partition. J. Comb. Theory Ser. A 69(1), 149–158 (1995)\nGrabner, P.J., Knopfmacher, A.: Analysis of some new partition statistics. Ramanujan J. 12(3), 439–454 (2006)\nHardy, G.H., Ramanujan, S.: Asymptotic formulæin combinatory analysis. In: Collected Papers of Srinivasa Ramanujan, p. 244. AMS Chelsea, Providence (2000). [Proc. Lond. Math. Soc. 16(2) (1917), Records for 1 March 1917]\nHua, L.K.: On the number of partitions of a number into unequal parts. Trans. Am. Math. Soc. 51, 194–201 (1942)\nHwang, H.-K.: Limit theorems for the number of summands in integer partitions. J. Comb. Theory Ser. A 96(1), 89–126 (2001)\nMeinardus, G.: Asymptotische Aussagen über Partitionen. Math. Z. 59, 388–398 (1954)\nMutafchiev, L.R.: On the maximal multiplicity of parts in a random integer partition. Ramanujan J. 9(3), 305–316 (2005)\nRademacher, H.: On the expansion of the partition function in a series. Ann. Math. 44(2), 416–422 (1943)\nSzekeres, G.: An asymptotic formula in the theory of partitions. Quart. J. Math., Oxford Ser. 2(2), 85–108 (1951)\nSzekeres, G.: Some asymptotic formulae in the theory of partitions. II. Quart. J. Math., Oxford Ser. 4(2), 96–111 (1953)\nSzekeres, G.: Asymptotic distribution of the number and size of parts in unequal partitions. Bull. Aust. Math. Soc. 36(1), 89–97 (1987)\nSzekeres, G.: Asymptotic distribution of partitions by number and size of parts. In: Number Theory, vol. I, Budapest, 1987. Colloq. Math. Soc. János Bolyai, vol. 51, pp. 527–538. North-Holland, Amsterdam (1990)",{"VOID":1677},"10.1007\u002Fs11139-008-9149-6","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-008-9149-6",[1680],{"id":1681,"sortIndex":32,"researcher":28,"roles":1682,"affiliations":1683,"properties":1692,"displayName":1694,"givenName":28,"familyName":28},"f37b0c28-8e39-4056-a69e-883db0000450",[962],[1684],{"id":1685,"sortIndex":32,"affiliation":1686,"properties":28},"0098dafb-6a51-4c44-83ca-2c5050e50692",{"id":1685,"createTime":28,"updateTime":28,"relativeEntities":1687,"slug":28,"properties":1688,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1691,"statistic":28},[],{"title":1689},{"VI":1690},"Department of Mathematical Sciences, Stellenbosch University, Matieland, South Africa",[],{"title":1693},{"VI":1694},"Stephan Wagner",{"url":1678,"publisher":1696,"properties":1737},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1697,"slug":872,"properties":1698,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1701,"manageAffiliations":1706,"indexDatabases":1717,"url":28,"thumbnailPath":28,"statistic":1732,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1699,"title":1700},{"VOID":875},{"VOID":877},[1702],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1703,"label":1704,"description":1705,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1707,1712],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1708,"slug":28,"properties":1709,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1711,"statistic":28},[],{"title":1710},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1713,"slug":28,"properties":1714,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1716,"statistic":28},[],{"title":1715},{"EN":900},[],[1718,1725],{"id":904,"indexDatabase":1719,"url":916,"indexYears":28,"academicFieldIds":1724,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1720,"label":1721,"description":1722,"key":913,"publicationTags":1723,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1726,"url":926,"indexYears":927,"academicFieldIds":1731,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1727,"label":1728,"description":1729,"key":792,"publicationTags":1730,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1733,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1734,"totalCitation":32,"totalCitationByYear":1735,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1736,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1738,"volume":1740},{"VOID":1739},"189-206",{"VOID":1741},"20","2009-10-01",2009,[915,930],{"id":1746,"createTime":1747,"updateTime":1748,"relativeEntities":1749,"slug":1750,"properties":1751,"entityType":955,"verifyStatus":26,"verifyTime":1748,"verifyNote":956,"languages":28,"translateLanguages":28,"viewCount":32,"primaryUrl":1760,"fullTextUrl":28,"authors":1761,"publicationType":975,"publisherRelationship":1777,"citationCount":28,"citationInfo":28,"publishDate":1824,"publishYear":1825,"citationAnalyzeStatus":878,"lastCitationAnalyze":28,"indexDatabases":1826,"openAccess":28,"references":28,"isForceReanalyzing":1026},"041b65f9-c67a-42ce-82e9-6f952c9c78c2","2024-02-16T16:47:15.501+00:00","2024-11-28T07:01:45.882+00:00",[],"Hypergeometric-functions-and-elliptic-curves",{"abstract":1752,"title":1754,"references":1756,"doi":1758},{"EN":1753},"We provide uniform formulas for the real period and the trace of Frobenius associated to an elliptic curve in Legendre normal form. These are expressed in terms of classical and Gaussian hypergeometric functions, respectively.",{"EN":1755},"Hypergeometric functions and elliptic curves",{"VOID":1757},"Andrews, G.E., Askey, R., Roy, R.: Special functions, volume 71 of Encyclopedia of Mathematics and its Applications. Cambridge University Press, Cambridge (1999)\nGreene, J.: Hypergeometric functions over finite fields. Trans. Amer. Math. Soc. 301(1), 77–101 (1987)\nIreland, K., Rosen, M.: A classical introduction to modern number theory, volume 84 of Graduate Texts in Mathematics. Springer-Verlag, New York, second edition (1990)\nKnapp, A.W.: Elliptic curves, volume 40 of Mathematical Notes. Princeton University Press, Princeton, NJ (1992)\nOno, K.: Values of Gaussian hypergeometric series. Trans. Amer. Math. Soc. 350(3), 1205–1223 (1998)\nOno, K.: The web of Modularity: Arithmetic of the coefficients of Modular Forms and q-series, CBMS Monograph 102, American Mathematical Society, Providence, RI (2004)\nSilverman, J.H.: The arithmetic of elliptic curves, volume 106 of Graduate Texts in Mathematics. Springer-Verlag, New York. Corrected reprint of the 1986 original (1992)",{"VOID":1759},"10.1007\u002Fs11139-006-0073-3","https:\u002F\u002Flink.springer.com\u002Farticle\u002F10.1007\u002Fs11139-006-0073-3",[1762],{"id":1763,"sortIndex":32,"researcher":28,"roles":1764,"affiliations":1765,"properties":1774,"displayName":1776,"givenName":28,"familyName":28},"8daf83e4-058f-40a6-b750-31355c9ad5d5",[962],[1766],{"id":1767,"sortIndex":32,"affiliation":1768,"properties":28},"8c553492-1809-4d4f-a8d0-0b68848f00c4",{"id":1767,"createTime":28,"updateTime":28,"relativeEntities":1769,"slug":28,"properties":1770,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1773,"statistic":28},[],{"title":1771},{"EN":1772},"Department of Mathematics, University of Wisconsin, Madison",[],{"title":1775},{"VI":1776},"Jeremy Rouse",{"url":1760,"publisher":1778,"properties":1819},{"id":868,"createTime":869,"updateTime":870,"relativeEntities":1779,"slug":872,"properties":1780,"entityType":25,"verifyStatus":878,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":32,"subjectFields":1783,"manageAffiliations":1788,"indexDatabases":1799,"url":28,"thumbnailPath":28,"statistic":1814,"gsStatistic":28,"type":55,"analyzePriority":28},[],{"issn":1781,"title":1782},{"VOID":875},{"VOID":877},[1784],{"id":881,"createTime":28,"updateTime":28,"relativeEntities":1785,"label":1786,"description":1787,"parentId":28,"standard":28,"scholarHubFieldId":28},[],{"EN":884},{},[1789,1794],{"id":888,"createTime":28,"updateTime":28,"relativeEntities":1790,"slug":28,"properties":1791,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1793,"statistic":28},[],{"title":1792},{"EN":892},[894],{"id":896,"createTime":28,"updateTime":28,"relativeEntities":1795,"slug":28,"properties":1796,"entityType":28,"verifyStatus":28,"verifyTime":28,"verifyNote":28,"languages":28,"translateLanguages":28,"viewCount":28,"url":28,"parentIds":1798,"statistic":28},[],{"title":1797},{"EN":900},[],[1800,1807],{"id":904,"indexDatabase":1801,"url":916,"indexYears":28,"academicFieldIds":1806,"indexDatabaseRanking":28},{"id":906,"createTime":28,"updateTime":28,"relativeEntities":1802,"label":1803,"description":1804,"key":913,"publicationTags":1805,"standard":28},[],{"EN":909,"VI":909},{"EN":911,"VI":912},[915,813],[918],{"id":920,"indexDatabase":1808,"url":926,"indexYears":927,"academicFieldIds":1813,"indexDatabaseRanking":930},{"id":786,"createTime":28,"updateTime":28,"relativeEntities":1809,"label":1810,"description":1811,"key":792,"publicationTags":1812,"standard":28},[],{"EN":789,"VI":789},{"EN":789,"VI":791},[794],[929],{"impactFactor":32,"impactFactorByYear":1815,"i10Index":32,"i10IndexLast5Year":32,"totalPublication":123,"totalPublicationByYear":1816,"totalCitation":32,"totalCitationByYear":1817,"totalCitationPerPublication":32,"totalCitationPerPublicationByYear":1818,"hindexLast5Year":32,"hindex":32},{},{"2018":40,"2019":40},{},{},{"pages":1820,"volume":1822},{"VOID":1821},"197-205",{"VOID":1823},"12","2006-11-09",2006,[915,930]]