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Ufa Mathematical Journal, 2015, Volume 7, Issue 4, Pages 15–23
DOI: https://doi.org/10.13108/2015-7-4-15 (Mi ufa298) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Exactness of estimates for $k$th order of Dirichlet series in a semi-strip

N. N. Aitkuzhinaa, A. M. Gaisinba

a Bashkir State University, Ufa, Russia
b Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa, Russia
English version PDF (351 kB) Citations (2)
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DOI: https://doi.org/10.13108/2015-7-4-15
Abstract: We study the Dirichlet series converging only in a half-plane such that their sequence of exponents admits an extension to a “regular” sequence. We proved the exactness of two-sided estimates for $k$-order of the sum of the Dirichlet series in a semi-strip whose width depends on the special distribution density of the exponents.
Keywords: $k$-order of the Dirichlet series in a semi-strip, entire functions with a prescribed asymptotics on the positive axis.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01661
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 06.10.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2015, Volume 7, Issue 4, Pages 15–24
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30D10
Language: English
Original paper language: Russian
Citation: N. N. Aitkuzhina, A. M. Gaisin, “Exactness of estimates for $k$th order of Dirichlet series in a semi-strip”, Ufimsk. Mat. Zh., 7:4 (2015), 15–24; Ufa Math. J., 7:4 (2015), 15–23
Citation in format AMSBIB
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\paper Exactness of estimates for $k$th order of Dirichlet series in a~semi-strip
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\issue 4
\pages 15--24
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  • https://doi.org/10.13108/2015-7-4-15
  • https://www.mathnet.ru/eng/ufa/v7/i4/p15
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
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    Abstract page:250
    Russian version PDF:104
    English version PDF:9
    References:40
    First page:6
     
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