paper

Application of Meyer's theorem on quasicrystals to exponential polynomials and Dirichlet series

arXiv:2411.07190

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.

5 pages, 17 references