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Matematicheskie Zametki, 2009, Volume 85, Issue 1, Pages 54–64
DOI: https://doi.org/10.4213/mzm4412
(Mi mzm4412)
 

This article is cited in 11 scientific papers (total in 11 papers)

On the Joint Universality of Periodic Zeta Functions

A. P. Laurincikasa, R. Macaitienéb

a Vilnius University
b Siauliai University
References:
Abstract: In this paper, we obtain the joint universality (in the sense of Voronin) of Dirichlet series with periodic multiplicative coefficients. The proof is based on a joint limit theorem in the space of analytic functions.
Keywords: periodic zeta function, Dirichlet series, analytic function, meromorphic function, zeta function, Lebesgue measure, Euler function, probability measure.
Received: 12.12.2007
Revised: 18.04.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 1, Pages 51–60
DOI: https://doi.org/10.1134/S0001434609010052
Bibliographic databases:
UDC: 511
Language: Russian
Citation: A. P. Laurincikas, R. Macaitiené, “On the Joint Universality of Periodic Zeta Functions”, Mat. Zametki, 85:1 (2009), 54–64; Math. Notes, 85:1 (2009), 51–60
Citation in format AMSBIB
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\paper On the Joint Universality of Periodic Zeta Functions
\jour Mat. Zametki
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\issue 1
\pages 54--64
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\transl
\jour Math. Notes
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\vol 85
\issue 1
\pages 51--60
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-62949106128}
Linking options:
  • https://www.mathnet.ru/eng/mzm4412
  • https://doi.org/10.4213/mzm4412
  • https://www.mathnet.ru/eng/mzm/v85/i1/p54
  • This publication is cited in the following 11 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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    Full-text PDF :679
    References:64
    First page:7
     
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