On a Dirichlet Series Connected to a Periodic Hurwitz Zeta-Function with Transcendental and Rational Parameter

被引：1

作者：

Balciunas, Aidas ^{[1
]}

Laurincikas, Antanas ^{[1
]}

Stoncelis, Mindaugas ^{[2
]}

机构：

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

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

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2023年 / 28卷 / 01期

关键词：

Haar measure; periodic Hurwitz zeta-function; space of analytic functions; universality; weak convergence; UNIVERSALITY;

D O I：

10.3846/mma.2023.17222

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper, we construct an absolutely convergent Dirichlet series which in the mean is close to the periodic Hurwitz zeta-function, and has the univer-sality property on the approximation of a wide class of analytic functions.

引用

页码：91 / 101

页数：11

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