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Ufa Mathematical Journal, 2014, Volume 6, Issue 4, Pages 18–30
DOI: https://doi.org/10.13108/2014-6-4-18 (Mi ufa257) 		 
This article is cited in 1 scientific paper (total in 1 paper)

$k$-order estimate for Dirichlet series in a half-strip

N. N. Aitkuzhinaa, A. M. Gaisinab

a Bashkir State University, Ufa, Russia
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
English version PDF (356 kB) Citations (1)
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DOI: https://doi.org/10.13108/2014-6-4-18
Abstract: We study Dirichlet series converging only in a half-plane and whose sequence of exponents can be extended to some “right” sequence. We establish the best possible $k$-order estimates for the sum of the Dirichlet series in the half-strip whose width depends on a special distribution density of the exponents.
Keywords: $k$-order of the Dirichlet series in a half-strip, entire functions of a given growth on the real.
Received: 24.09.2014
Russian version:
Ufimskii Matematicheskii Zhurnal, 2014, Volume 6, Issue 4, Pages 19–31
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30D10
Language: English
Original paper language: Russian
Citation: N. N. Aitkuzhina, A. M. Gaisin, “$k$-order estimate for Dirichlet series in a half-strip”, Ufimsk. Mat. Zh., 6:4 (2014), 19–31; Ufa Math. J., 6:4 (2014), 18–30
Citation in format AMSBIB
\Bibitem{AitGai14}
\by N.~N.~Aitkuzhina, A.~M.~Gaisin
\paper $k$-order estimate for Dirichlet series in a~half-strip
\jour Ufimsk. Mat. Zh.
\yr 2014
\vol 6
\issue 4
\pages 19--31
\mathnet{http://mi.mathnet.ru/ufa257}
\transl
\jour Ufa Math. J.
\yr 2014
\vol 6
\issue 4
\pages 18--30
\crossref{https://doi.org/10.13108/2014-6-4-18}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928267479}
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  • https://doi.org/10.13108/2014-6-4-18
  • https://www.mathnet.ru/eng/ufa/v6/i4/p19
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Abstract page:250
    Russian version PDF:144
    English version PDF:9
    References:54
     
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