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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| Published in | Mathematical modelling and analysis Vol. 28; no. 1; pp. 91 - 101 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Vilnius
Vilnius Gediminas Technical University
01.01.2023
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1392-6292 1648-3510 |
| DOI | 10.3846/mma.2023.17222 |
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| Abstract | 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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| AbstractList | 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. 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. Keywords: Haar measure, periodic Hurwitz zeta-function, space of analytic functions, universality, weak convergence. AMS Subject Classification: 11M41. |
| Audience | Academic |
| Author | Balčiūnas, Aidas Stoncelis, Mindaugas Laurinčikas, Antanas |
| Author_xml | – sequence: 1 givenname: Aidas orcidid: 0000-0003-3986-4239 surname: Balčiūnas fullname: Balčiūnas, Aidas organization: Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko g. 24, LT-03225 Vilnius, Lithuania – sequence: 2 givenname: Antanas surname: Laurinčikas fullname: Laurinčikas, Antanas organization: Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko g. 24, LT-03225 Vilnius, Lithuania – sequence: 3 givenname: Mindaugas surname: Stoncelis fullname: Stoncelis, Mindaugas organization: Institute of Regional Development, Šiauliai Academy, Vilnius University, P. Višinskio g. 25, LT-76351 Šiauliai, Lithuania |
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| Copyright | Copyright (c) 2023 The Author(s). Published by Vilnius Gediminas Technical University. COPYRIGHT 2023 Vilnius Gediminas Technical University 2023. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. |
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| Keywords | universality periodic Hurwitz zeta-function weak convergence Haar measure space of analytic functions |
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| SubjectTerms | 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 |
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| Title | On a Dirichlet series connected to a periodic Hurwitz zeta-function with transcendental and rational parameter |
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