Work

A product identity for Dirichlet series satisfying Hecke's functional equation

Year: 2025

Type: article

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.

Source: Hacettepe Journal of Mathematics and Statistics

DOI: 10.15672/hujms.1595265

Author: Efe Gürel

Institution: Türkiye Bilimsel ve Teknolojik Araştırma Kurumu

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409371253

FWCI:

Cites: 1

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Related to: 10