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Ufa Mathematical Journal, 2013, Volume 5, Issue 3, Pages 3–10
DOI: https://doi.org/10.13108/2013-5-3-3 (Mi ufa204) 		 
Dirichlet series with real coefficients

N. N. Aitkuzhinaa, A. M. Gaisinb

a Bashkir State University, Z. Validi str., 32, 450074, Ufa, Russia
b Institute of Mathematics USC RAS, Chernyshevsky str., 112, 450008, Ufa, Russia
English version PDF (321 kB) Russian version article
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DOI: https://doi.org/10.13108/2013-5-3-3
Abstract: We study the class of entire functions represented by Dirichlet series with real coefficients determined by a convex growth majorant. We prove the criterion for the validity of the asymptotic identity on the positive ray which is an exact estimate for the growth of the logarithm of the modulus for each function in the considered class.
Keywords: Dirichlet series with real coefficients, discrete growth majorant.
Received: 15.04.2013
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30D10
Language: English
Original paper language: Russian
Citation: N. N. Aitkuzhina, A. M. Gaisin, “Dirichlet series with real coefficients”, Ufa Math. J., 5:3 (2013), 3–10
Citation in format AMSBIB
\Bibitem{AitGai13}
\by N.~N.~Aitkuzhina, A.~M.~Gaisin
\paper Dirichlet series with real coefficients
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 3
\pages 3--10
\mathnet{http://mi.mathnet.ru//eng/ufa204}
\crossref{https://doi.org/10.13108/2013-5-3-3}
\elib{https://elibrary.ru/item.asp?id=20930795}
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    Abstract page:214
    Russian version PDF:100
    English version PDF:17
    References:42
    First page:2
     
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