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Russian Academy of Sciences. Sbornik. Mathematics, 1995, Volume 81, Issue 1, Pages 163–183
DOI: https://doi.org/10.1070/SM1995v081n01ABEH003619 (Mi sm878) 		 
This article is cited in 10 scientific papers (total in 10 papers)

An estimate for a Dirichlet series whose exponents are zeros of an entire function with irregular behavior

A. M. Gaisin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (832 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM1995v081n01ABEH003619
Abstract: Under sufficiently general assumptions an estimate is obtained of the sum of an entire Dirichlet series in terms of the maximum of its modulus on a vertical segment.
An analogous estimate is obtained for the Dirichlet series converging only in a half-plane.
Received: 10.10.1993
Russian version:
Matematicheskii Sbornik, 1994, Volume 185, Number 2, Pages 33–56
Bibliographic databases:
UDC: 517.53
MSC: 30B50
Language: English
Original paper language: Russian
Citation: A. M. Gaisin, “An estimate for a Dirichlet series whose exponents are zeros of an entire function with irregular behavior”, Mat. Sb., 185:2 (1994), 33–56; Russian Acad. Sci. Sb. Math., 81:1 (1995), 163–183
Citation in format AMSBIB
\Bibitem{Gai94}
\by A.~M.~Gaisin
\paper An estimate for a~Dirichlet series whose exponents are zeros of an~entire function with irregular behavior
\jour Mat. Sb.
\yr 1994
\vol 185
\issue 2
\pages 33--56
\mathnet{http://mi.mathnet.ru/sm878}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1264773}
\zmath{https://zbmath.org/?q=an:0832.30002}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 81
\issue 1
\pages 163--183
\crossref{https://doi.org/10.1070/SM1995v081n01ABEH003619}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995QZ14400009}
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  • https://doi.org/10.1070/SM1995v081n01ABEH003619
  • https://www.mathnet.ru/eng/sm/v185/i2/p33
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:312
    Russian version PDF:110
    English version PDF:7
    References:38
    First page:1
     
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