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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 9 scientific papers (total in 9 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 (9) Russian version article
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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
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”, Russian Acad. Sci. Izv. Math., 45:1 (1995), 175–186
Citation in format AMSBIB
\Bibitem{Gai94}
\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 Russian Acad. Sci. Izv. Math.
\yr 1995
\vol 45
\issue 1
\pages 175--186
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\crossref{https://doi.org/10.1070/IM1995v045n01ABEH001625}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1307061}
\zmath{https://zbmath.org/?q=an:0839.30002}
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  • https://www.mathnet.ru/eng/im/v58/i4/p173
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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