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

Autor:	Favorov, Sergii
Rok vydání:	2024
Předmět:	Mathematics - Complex Variables Mathematics - Functional Analysis 30B50 42A38 52C23
Druh dokumentu:	Working Paper
Popis:	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. Comment: 5 pages, 17 references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.07190 Zobrazit plný text záznamu View this record from Arxiv