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Russian Academy of Sciences. Izvestiya Mathematics, 1995, Volume 45, Issue 1, Pages 175–186
DOI: https://doi.org/10.1070/IM1995v045n01ABEH001625 (Mi im775) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Behavior of the logarithm of the modulus value of the sum of a Dirichlet series converging in a half-plane

A. M. Gaisin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (491 kB) Citations (8)
References:
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DOI: https://doi.org/10.1070/IM1995v045n01ABEH001625
Abstract: A stronger version of the well-known theorem of Hayman concerning the minimum modulus of an entire function of infinite order defined by a lacunary power series is proved for series converging only in the unit disc or in a half-plane.
Received: 17.12.1992
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1994, Volume 58, Issue 4, Pages 173–185
Bibliographic databases:
UDC: 517.53
MSC: Primary 30B50; Secondary 30D15
Language: English
Original paper language: Russian
Citation: A. M. Gaisin, “Behavior of the logarithm of the modulus value of the sum of a Dirichlet series converging in a half-plane”, Izv. RAN. Ser. Mat., 58:4 (1994), 173–185; Russian Acad. Sci. Izv. Math., 45:1 (1995), 175–186
Citation in format AMSBIB
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\by A.~M.~Gaisin
\paper Behavior of the~logarithm of the modulus value of the~sum of a~Dirichlet series converging in a~half-plane
\jour Izv. RAN. Ser. Mat.
\yr 1994
\vol 58
\issue 4
\pages 173--185
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1307061}
\zmath{https://zbmath.org/?q=an:0839.30002}
\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 45
\issue 1
\pages 175--186
\crossref{https://doi.org/10.1070/IM1995v045n01ABEH001625}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ08400008}
Linking options:
  • https://www.mathnet.ru/eng/im775
  • https://doi.org/10.1070/IM1995v045n01ABEH001625
  • https://www.mathnet.ru/eng/im/v58/i4/p173
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:422
    Russian version PDF:93
    English version PDF:13
    References:35
    First page:2
     
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