Khoảng Lặp Rời Rạc của Các Phép Quay Bổ Sung. I: Bình Phương Trung Bình

Lithuanian Mathematical Journal - Tập 59 - Trang 412-424 - 2019
Janyarak Tongsomporn1, Jörn Steuding2
1School of Science, Walailak University, Nakhon Si Thammarat, Thailand
2Department of Mathematics, Würzburg University, Würzburg, Germany

Tóm tắt

Trong ghi chú này, chúng tôi chứng minh một công thức tiệm cận cho bình phương trung bình của cái gọi là hàm zeta theo chu kỳ liên quan đến tham số. Điều này có thể được so sánh với các công thức tương tự cho các hàm L Dirichlet tới các ký tự lớp dư (nhân) do Paley và những người khác. Hàm zeta theo chu kỳ là biến thể của hàm zeta Riemann với một ký tự cộng.

Từ khóa

#hàm zeta #bình phương trung bình #hàm L Dirichlet #ký tự lớp dư #phép quay bổ sung

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