# Periodicity of Dirichlet series

Author
Karazin Kharkiv National University
Abstract
We prove that whenever all differences between zeros of two quasipolynomials form a discrete set, then both quasipolynomials are periodic with the same period. The result is valid for some classes of Dirichlet series and almost periodic holomorphic functions as well.
Keywords
quasipolynomial; periodic function; zero set; discrete set; Dirichlet series; almost periodic holomorphic function
Reference
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Pages
38-43
Volume
42
Issue
1
Year
2014
Journal
Matematychni Studii
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