The Ramanujan Journal
SCIE-ISI SCOPUS (1997-2023)
1572-9303
Cơ quản chủ quản: Springer Netherlands , SPRINGER
Lĩnh vực:
Algebra and Number Theory
Các bài báo tiêu biểu
On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane
Tập 16 Số 1 - Trang 105-129 - 2008
Modular Transformations of Ramanujan's Fifth and Seventh Order Mock Theta Functions
Tập 7 - Trang 193-222 - 2003
In his last letter to Hardy, Ramanujan defined 17 functions F(q), where |q| < 1. He called them mock theta functions, because as q radially approaches any point e
2πir
(r rational), there is a theta function F
r(q) with F(q) − F
r(q) = O(1). In this paper we obtain the transformations of Ramanujan's fifth and seventh order mock theta functions under the modular group generators τ → τ + 1 and τ → ...... hiện toàn bộ
New 5 F 4 hypergeometric transformations, three-variable Mahler measures, and formulas for 1/π
Tập 18 Số 3 - Trang 327-340 - 2009
Inequalities and infinite product formula for Ramanujan generalized modular equation function
- 2018
On the divisor function and the Riemann zeta-function in short intervals
Tập 19 Số 2 - Trang 207-224 - 2009
Some combinatorial properties of hook lengths, contents, and parts of partitions
Tập 23 - Trang 91-105 - 2009
The main result of this paper is a generalization of a conjecture of Guoniu Han, originally inspired by an identity of Nekrasov and Okounkov. Our result states that if F is any symmetric function (say over ℚ) and if
$$\Phi_n(F)=\frac{1}{n!}\sum_{\lambda\vdash n}f_\lambda^2F(h_u^2:u\in\lambda),$$
where ...... hiện toàn bộ