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Abstract <p> For a Dirichlet series with positive exponents summable to an entire function, the behavior of the maximal term is studied. For the class of integer Dirichlet series whose growth is controlled by a convex majorant on some sequence of points, we prove a theorem on equivalence of the logarithms of the original series and the modified Dirichlet series on an asymptotic set. </p>

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Stability of the Maximal Term of a Dirichlet Series of a Given Growth on a Discrete Set

  • 期刊论文

  • 发表日期：

    2025年8月1日

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  • G. A. Gaisina

摘要

Abstract

For a Dirichlet series with positive exponents summable to an entire function, the behavior of the maximal term is studied. For the class of integer Dirichlet series whose growth is controlled by a convex majorant on some sequence of points, we prove a theorem on equivalence of the logarithms of the original series and the modified Dirichlet series on an asymptotic set.