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arXiv · 2411.19891

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

Bruce C. Berndt·Likun Xie
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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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Bruce C. Berndt, Likun Xie. 2024-11-29. Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation. https://arxiv.org/abs/2411.19891

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