On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function

被引：0

作者：

Garbaliauskiene, Virginija ^{[1
]}

Laurincikas, Antanas ^{[2
]}

Siauciunas, Darius ^{[3
]}

机构：

[1] Siauliai State Univ Appl Sci, Fac Business & Technol, Ausros Ave 40, LT-76241 Shiauliai, Lithuania

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

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

来源：

MATHEMATICS | 2023年 / 11卷 / 10期

关键词：

discrete limit theorem; Mellin transform; Riemann zeta-function; weak convergence;

D O I：

10.3390/math11102315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, it is obtained that there are infinite discrete shifts ?(s + ikh), h > 0, k ? N(0 )of the Mellin transform ?(s) of the square of the Riemann zeta-function, approximating a certain class of analytic functions. For the proof, a probabilistic approach based on weak convergence of probability measures in the space of analytic functions is applied.

引用

页数：15

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