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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 1128–1135
DOI: https://doi.org/10.17377/smzh.2018.59.513 (Mi smj3033) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Universality of the periodic Hurwitz zeta-function with rational parameter

A. Laurinčikasa, R. Macaitienėbc, D. Mochova, D. Šiaučiūnasbd

a Vilnius University, Vilnius, Lietuva
b Šiauliai University, Šiauliai, Lietuva
c Šiauliai State College, Šiauliai, Lietuva
d Šiauliai University, Šiauliai, Lietuva
Full-text PDF (282 kB) Citations (10)
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DOI: https://doi.org/10.17377/smzh.2018.59.513
Abstract: The periodic Hurwitz zeta-function, a generalization of the classical Hurwitz zeta-function, is defined by a Dirichlet series with periodic coefficients and depends on a fixed parameter. We show that a wide class of analytic functions is approximated by shifts of a periodic zeta-function with rational parameter.
Keywords: Hurwitz zeta-function, periodic Hurwitz zeta-function, Mergelyan's theorem, universality.
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 No. 09.3.3-LMT-K-712-01- 0037.
Received: 15.01.2018
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 894–900
DOI: https://doi.org/10.1134/S0037446618050130
Bibliographic databases:
Document Type: Article
UDC: 511.3
MSC: 35R30
Language: Russian
Citation: A. Laurinčikas, R. Macaitienė, D. Mochov, D. Šiaučiūnas, “Universality of the periodic Hurwitz zeta-function with rational parameter”, Sibirsk. Mat. Zh., 59:5 (2018), 1128–1135; Siberian Math. J., 59:5 (2018), 894–900
Citation in format AMSBIB
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\paper Universality of the periodic Hurwitz zeta-function with rational parameter
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\vol 59
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\pages 1128--1135
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\pages 894--900
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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