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

共 6 条

[1] Billingsley P., 1999, CONVERGE PROBAB MEAS, Vsecond
[2] Universality of the periodic Hurwitz zeta-function
Javtokas, A.
Laurincikas, A.
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2006, 17 (10) : 711 - 722
[3] Javtokas A., 2006, HARDY RAMANUJAN J, V29, P18, DOI [10.46298/hrj.2006.154, DOI 10.46298/HRJ.2006.154]
[4] Universality of the Periodic Hurwitz Zeta-Function with Rational Parameter
Laurincikas, A.
Macaitiene, R.
Mochov, D.
Siauciunas, D.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2018, 59 (05) : 894 - 900
[5] Mergelyan S.N., 1952, Usp. Mat. Nauk., V7, P31
[6] Voronin S.M., 1975, MATH USSR IZV, V9, P443, DOI [10.1070/IM1975v009n03ABEH001485, DOI 10.1070/IM1975V009N03ABEH001485]

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