Discrete Approximation by a Dirichlet Series Connected to the Riemann Zeta-Function

被引：4

作者：

Laurincikas, Antanas ^{[1
]}

Siauciunas, Darius ^{[2
]}

机构：

[1] Vilnius Univ, Fac Math & Informat, Inst Math, Naugarduko Str 24, LT-03225 Vilnius, Lithuania

[2] Vilnius Univ, Siauliai Acad, Reg Dev Inst, P Visinskio Str 25, LT-76351 Shiauliai, Lithuania

来源：

MATHEMATICS | 2021年 / 9卷 / 10期

关键词：

distribution function; Riemann zeta-function; Voronin universality theorem; weak convergence;

D O I：

10.3390/math9101073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, a Dirichlet series zeta(uN)(s) whose shifts zeta(uN)(s + ikh), k = 0,1, ..., h > 0, approximate analytic non-vanishing functions defined on the right-hand side of the critical strip is considered. This series is closely connected to the Riemann zeta-function. The sequence u(N) -> infinity and u(N) << N-2 as N -> infinity.

引用

页数：11

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