Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations-Reference-Cited by-同舟云学术

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Self-reciprocal functions, powers of the Riemann zeta function and modular-type transformations

Published:2015-02 Issue: Volume:147 Page:211-249
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Dixit Atul,Moll Victor H.

Funder

NSF–DMS

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference31 articles.

1. Introduction to Analytic Number Theory;Apostol,1976

2. A transformation formula involving the Gamma and Riemann zeta functions in Ramanujan's Lost Notebook;Berndt,2010

3. Koshliakov's formula and Guinand's formula in Ramanujan's Lost Notebook;Berndt,2008

4. A series identity, possibly connected with a divisor problem;Berndt,2014

5. Some formulas of Ramanujan involving Bessel functions;Cohen,2010

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Modular relations involving generalized digamma functions;Journal of Mathematical Analysis and Applications;2024-11

2. Explicit transformations of certain Lambert series;Research in the Mathematical Sciences;2022-05-19

3. Koshliakov zeta functions I: Modular relations;Advances in Mathematics;2021-12

4. Superimposing theta structure on a generalized modular relation;Research in the Mathematical Sciences;2021-06-22

5. On special Riemann xi function formulae of Hardy involving the digamma function;Acta Scientiarum Mathematicarum;2021

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