Identities for the product of Two Dirichlet Series Satisfying Hecke's Functional Equation
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.
11 pages. Final version, to appear in Journal of Mathematical Analysis and Applications