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arXiv · 2504.14551

A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation

Efe Gürel
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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 $4$-term product identity for Riemann zeta function is also given.

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Efe Gürel. 2025-04-20. A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation. https://doi.org/10.15672/hujms.1595265

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