Arithmetical identities and Hecke's functional equation

Author:

Berndt Bruce C.

Abstract

We consider a subclass of the Dirichlet series studied by Chandrasekharan and Narasimhan in (1). Our objective is to generalize some identities due to Landau (3) concerning r2(n), the number of representations of the positive integer n as the sum of 2 squares. We shall also give a slight extension of Theorem III in (1).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 6 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. Certain extensions of results of Siegel, Wilton and Hardy;Advances in Applied Mathematics;2024-05

2. On the Epstein zeta function and the zeros of a class of Dirichlet series;Journal of Mathematical Analysis and Applications;2024-02

3. The First Years;Springer Monographs in Mathematics;2012

4. Once more on the functionσ A (M);Lithuanian Mathematical Journal;1992-01

5. The Voronoï summation formula;Lecture Notes in Mathematics;1972

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