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<p>A simple necessary and sufficient condition is given for exponential polynomials and 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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年6月17日

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  • Sergii Yu. Favorov

摘要

A simple necessary and sufficient condition is given for exponential polynomials and 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.