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<p>Inspired by Bohr’s equivalence relation concerning general Dirichlet series, in this paper we introduce a new equivalence relation on certain classes of exponential polynomials whose sets of frequencies are not necessarily equal. We first characterize this equivalence relation through a new perspective, and finally we obtain an improvement of Bohr’s equivalence theorem for the case of these finite exponential sums.</p>

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An extension of Bohr’s equivalence theorem to the case of exponential polynomials with distinct sets of frequencies

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  • 发表日期：

    2025年8月26日

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  • J. M. Sepulcre,
  • T. Vidal

摘要

Inspired by Bohr’s equivalence relation concerning general Dirichlet series, in this paper we introduce a new equivalence relation on certain classes of exponential polynomials whose sets of frequencies are not necessarily equal. We first characterize this equivalence relation through a new perspective, and finally we obtain an improvement of Bohr’s equivalence theorem for the case of these finite exponential sums.