On a Dirichlet series connected to a periodic Hurwitz zeta-function with transcendental and rational parameter

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 universality property on the approximation of a wide class of analytic functions.

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 28; no. 1; pp. 91 - 101
Main Authors Balčiūnas, Aidas, Laurinčikas, Antanas, Stoncelis, Mindaugas
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 01.01.2023
Subjects
Analytic functions
Convergence (Mathematics)
Dirichlet problem
Functions, Zeta
Haar measure
Mathematical analysis
Mathematical research
periodic Hurwitz zeta-function
Prime numbers
Series, Dirichlet
space of analytic functions
universality
weak convergence
Lithuania
universality
periodic Hurwitz zeta-function
weak convergence
Haar measure
space of analytic functions
Online AccessGet full text
ISSN1392-6292
1648-3510
DOI10.3846/mma.2023.17222

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Summary: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 universality property on the approximation of a wide class of analytic functions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2023.17222