Mathematics > Complex Variables
[Submitted on 11 Nov 2024]
Title:Application of Meyer's theorem on quasicrystals to exponential polynomials and Dirichlet series
View PDF HTML (experimental)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.
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