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Mathematics of the USSR-Sbornik, 1975, Volume 25, Issue 1, Pages 1–36
DOI: https://doi.org/10.1070/SM1975v025n01ABEH002195 (Mi sm3083) 		 
This article is cited in 4 scientific papers (total in 5 papers)

Dirichlet series with independent exponents and some of their applications

E. M. Nikishin
English version PDF (1553 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM1975v025n01ABEH002195
Abstract: In this paper the methods of probability theory are used to prove a number of theorems on the behavior of Dirichlet series with independent exponents. The results so obtained are applied to the theory of the $\zeta$-function and to the behavior of the solution of the wave equation as $t\to\infty$.
Bibliography: 25 titles.
Received: 31.01.1974
Bibliographic databases:
UDC: 517.522.6
MSC: Primary 30A16; Secondary 35L05, 10H05, 10K99, 42A84
Language: English
Original paper language: Russian
Citation: E. M. Nikishin, “Dirichlet series with independent exponents and some of their applications”, Math. USSR-Sb., 25:1 (1975), 1–36
Citation in format AMSBIB
\Bibitem{Nik75}
\by E.~M.~Nikishin
\paper Dirichlet series with independent exponents and some of~their applications
\jour Math. USSR-Sb.
\yr 1975
\vol 25
\issue 1
\pages 1--36
\mathnet{http://mi.mathnet.ru/eng/sm3083}
\crossref{https://doi.org/10.1070/SM1975v025n01ABEH002195}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=415195}
\zmath{https://zbmath.org/?q=an:0306.10024}
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  • https://www.mathnet.ru/eng/sm/v138/i1/p3
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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