Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation

2024/11/29 by Bruce C. Berndt, Berndt, Bruce C., Likun Xie +1
Mathematics · #Meromorphic and Entire Functions #Functional Equations Stability Results #Analytic Number Theory Research

paper · pdf · doi:10.48550/arxiv.2411.19891

Abstract

We derive a general formula for the product of two Dirichlet series that satisfy Hecke's functional equation. Several examples are provided to demonstrate the applicability of the formula. In addition, we discuss prior work on similar products and clarify certain issues arising in the existing literature.

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