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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 4(2), Pages 67–72
DOI: https://doi.org/10.18500/1816-9791-2013-13-4-67-72 (Mi isu475) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

On universality of certain zeta-functions

A. Laurinčikasa, R. Macaitienėb, D. Mokhovc, D. Šiaučiūnasb

a Vilnius University, Naugarduko st. 24, LT-03225 Vilnius, Lithuania
b Šiauliai University, P. Višinskio st. 19, LT-77156 Šiauliai, Lithuania
c Vilnius University, Naugarduko st. 24, LT-03225 Vilnius, Lithuania
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DOI: https://doi.org/10.18500/1816-9791-2013-13-4-67-72
Abstract: It is well known that a generalization of the Hurwitz zeta-function – the periodic Hurwitz zeta-function with transcendental parameter is universal in the sense that its shifts approximate any analytic function. In the paper, the transcendence condition is replaced by a simpler one on the linear independence of a certain set.
Key words: periodic Hurwitz zeta-function, space of analytic functions, universality, weak convergence.
Bibliographic databases:
Document Type: Article
UDC: 511.3
Language: Russian
Citation: A. Laurinčikas, R. Macaitienė, D. Mokhov, D. Šiaučiūnas, “On universality of certain zeta-functions”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013), 67–72
Citation in format AMSBIB
\Bibitem{LauMacMok13}
\by A.~Laurin{\v{c}}ikas, R.~Macaitien{\.e}, D.~Mokhov, D.~{\v S}iau{\v{c}}i{\=u}nas
\paper On universality of certain zeta-functions
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 4(2)
\pages 67--72
\mathnet{http://mi.mathnet.ru/isu475}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-4-67-72}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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