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Sbornik: Mathematics, 2011, Volume 202, Issue 12, Pages 1741–1773
DOI: https://doi.org/10.1070/SM2011v202n12ABEH004206 (Mi sm7725) 		 
This article is cited in 2 scientific papers (total in 2 papers)

An estimate for the sum of a Dirichlet series in terms of the minimum of its modulus on a vertical line segment

A. M. Gaisina, Zh. G. Rakhmatullinab

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
b Bashkir State University
English version PDF (524 kB) Citations (2) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2011v202n12ABEH004206
Abstract: The behaviour of the sum of an entire Dirichlet series is analyzed in terms of the minimum of its modulus on a system of vertical line segments. Also a more general problem, connected with the Pólya conjecture is posed and solved. It concerns the minimum modulus of an entire function with Fabri gaps and its growth along curves going to infinity.
Bibliography: 33 titles.
Keywords: Dirichlet series, minimum modulus, Fejér gaps.
Received: 12.04.2010 and 06.09.2011
Bibliographic databases:
Document Type: Article
UDC: 517.53+517.537.7
MSC: 30B50, 30D15
Language: English
Original paper language: Russian
Citation: A. M. Gaisin, Zh. G. Rakhmatullina, “An estimate for the sum of a Dirichlet series in terms of the minimum of its modulus on a vertical line segment”, Sb. Math., 202:12 (2011), 1741–1773
Citation in format AMSBIB
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\by A.~M.~Gaisin, Zh.~G.~Rakhmatullina
\paper An estimate for the sum of a~Dirichlet series in terms of the minimum of its modulus on a~vertical line segment
\jour Sb. Math.
\yr 2011
\vol 202
\issue 12
\pages 1741--1773
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  • https://doi.org/10.1070/SM2011v202n12ABEH004206
  • https://www.mathnet.ru/eng/sm/v202/i12/p23
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:561
    Russian version PDF:222
    English version PDF:9
    References:61
    First page:21
     
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