A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation
Number Theory
2025-04-22 v1
Abstract
In this paper, we give an analogue of Wilton's product formula for Dirichlet series that satisfy Hecke's functional equation. We apply our results to obtain identities for Hecke series, L-functions associated to modular forms, Ramanujan's L-function, Epstein zeta functions, Dedekind zeta functions of imaginary quadratic fields and Dirichlet L-functions. A -term product identity for Riemann zeta function is also given.
Keywords
Cite
@article{arxiv.2504.14551,
title = {A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation},
author = {Efe Gürel},
journal= {arXiv preprint arXiv:2504.14551},
year = {2025}
}
Comments
15 pages