Application of Meyer's theorem on quasicrystals to exponential polynomials and Dirichlet series
Complex Variables
2024-11-12 v1 Functional Analysis
Abstract
A simple necessary and sufficient condition is given for an absolutely convergent Dirichlet series with imaginary exponents and only real zeros to be a finite product of sines. The proof is based on Meyer's theorem on quasicrystals.
Keywords
Cite
@article{arxiv.2411.07190,
title = {Application of Meyer's theorem on quasicrystals to exponential polynomials and Dirichlet series},
author = {Sergii Favorov},
journal= {arXiv preprint arXiv:2411.07190},
year = {2024}
}
Comments
5 pages, 17 references