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Matematicheskie Zametki, 2021, Volume 109, Issue 6, Pages 832–841
DOI: https://doi.org/10.4213/mzm12939 (Mi mzm12939) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On the Approximation of Analytic Functions by Shifts of an Absolutely Convergent Dirichlet Series

M. Jasasa, A. Laurinčikasa, D. Šiaučiūnasb

a Institute of Data Science and Digital Technologies, Vilnius University, Vilnius
b Institute for Regional Development, Šiauliai Academy, Vilnius University
Full-text PDF (496 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm12939
Abstract: A theorem dealing with the approximation of analytic functions in the strip $\{s\in \mathbb{C}: 1/2< \operatorname{Re} s<1\}$ by shifts of an absolutely convergent Dirichlet series close to a periodic zeta-function with multiplicative coefficients is proved.
Keywords: periodic zeta-function, weak convergence, Voronin universality theorem.
Funding agency Grant number
ESF - European Social Fund 09.3.3-LMT-K-712-01-0037
The second author's research was supported by the European Social Fund (grant no. 09.3.3-LMT-K-712-010037) under an agreement with the Lithuanian Science Council.
Received: 25.10.2020
Revised: 17.01.2021
English version:
Mathematical Notes, 2021, Volume 109, Issue 6, Pages 876–883
DOI: https://doi.org/10.1134/S0001434621050217
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: M. Jasas, A. Laurinčikas, D. Šiaučiūnas, “On the Approximation of Analytic Functions by Shifts of an Absolutely Convergent Dirichlet Series”, Mat. Zametki, 109:6 (2021), 832–841; Math. Notes, 109:6 (2021), 876–883
Citation in format AMSBIB
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\by M.~Jasas, A.~Laurin{\v{c}}ikas, D.~{\v S}iau{\v{c}}i{\=u}nas
\paper On the Approximation of Analytic Functions by Shifts of an Absolutely Convergent Dirichlet Series
\jour Mat. Zametki
\yr 2021
\vol 109
\issue 6
\pages 832--841
\mathnet{http://mi.mathnet.ru/mzm12939}
\crossref{https://doi.org/10.4213/mzm12939}
\transl
\jour Math. Notes
\yr 2021
\vol 109
\issue 6
\pages 876--883
\crossref{https://doi.org/10.1134/S0001434621050217}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000670513000021}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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