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Algebra i Analiz, 2021, Volume 33, Issue 3, Pages 111–128 (Mi aa1763)  
This article is cited in 1 scientific paper (total in 1 paper)

Research Papers

Joint weighted universality of the Hurwitz zeta-functions

A. Laurinčikas, G. Vadeikis

Institute of Mathematics, Faculty of Mathematics and Informatics, Vilnius University, Naugarduko str. 24, LT-03225, Vilnius, Lithuania
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Abstract: Joint weighted universality theorems are proved concerning simultaneous approximation of a collection of analytic functions by a collection of shifts of Hurwitz zeta-functions with parameters $\alpha_1,\dots,\alpha_r$. For this, linear independence is required over the field of rational numbers for the set $\{\log(m+\alpha_j)\colon m\in \mathbb{N}_0=\mathbb{N}\cup\{0\}, j=1,\dots,r\}$.
Keywords: Hurwitz zeta-function, linear independence, universality, weak convergence.
Funding agency Grant number
ESF - European Social Fund 09.3.3-LMT-K-712-01-0037
The research of the first author is funded by the European Social Fund according to the activity “Improvement of researchers” qualification by implementing world-class R&D projects' of Measure №09.3.3-LMT-K-712-01-0037.
Received: 11.09.2019
English version:
St. Petersburg Mathematical Journal, 2022, Volume 33, Issue 3, Pages 511–522
DOI: https://doi.org/10.1090/spmj/1712
Document Type: Article
Language: English
Citation: A. Laurinčikas, G. Vadeikis, “Joint weighted universality of the Hurwitz zeta-functions”, Algebra i Analiz, 33:3 (2021), 111–128; St. Petersburg Math. J., 33:3 (2022), 511–522
Citation in format AMSBIB
\Bibitem{LauVad21}
\by A.~Laurin{\v{c}}ikas, G.~Vadeikis
\paper Joint weighted universality of the Hurwitz zeta-functions
\jour Algebra i Analiz
\yr 2021
\vol 33
\issue 3
\pages 111--128
\mathnet{http://mi.mathnet.ru/aa1763}
\transl
\jour St. Petersburg Math. J.
\yr 2022
\vol 33
\issue 3
\pages 511--522
\crossref{https://doi.org/10.1090/spmj/1712}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Алгебра и анализ St. Petersburg Mathematical Journal
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