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A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation (2504.14551v1)
Published 20 Apr 2025 in math.NT
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.