SOME NUMBER THEORETIC APPLICATIONS OF A GENERAL MODULAR RELATION-Reference-Cited by-同舟云学术

SOME NUMBER THEORETIC APPLICATIONS OF A GENERAL MODULAR RELATION

Published:2006-12 Issue:04 Volume:02 Page:599-615
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

KANEMITSU SHIGERU¹,TANIGAWA YOSHIO²,TSUKADA HARUO¹

Affiliation:

1. Kinki University School of Humanity-Oriented Science and Engineering, Iizuka, Fukuoka, 820-8555, Japan

2. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8602, Japan

Abstract

We state a form of the modular relation in which the functional equation appears in the form of an expression of one Dirichlet series in terms of the other multiplied by the quotient of gamma functions and illustrate it by some concrete examples including the results of Koshlyakov, Berndt and Wigert and Bellman.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042106000759

Reference23 articles.

1. Wigert’s approximate functional equation and the Riemann zeta-function

2. Generalized Eisenstein Series and Non-Analytic Automorphic Functions

3. Identities Involving the Coefficients of a Class of Dirichlet Series. I

4. Identities involving the coefficients of a class of Dirichlet series. II

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