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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)
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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
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1975, Volume 96(138), Number 1, Pages 3–40
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”, Mat. Sb. (N.S.), 96(138):1 (1975), 3–40; 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 Mat. Sb. (N.S.)
\yr 1975
\vol 96(138)
\issue 1
\pages 3--40
\mathnet{http://mi.mathnet.ru/sm3083}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=415195}
\zmath{https://zbmath.org/?q=an:0306.10024}
\transl
\jour Math. USSR-Sb.
\yr 1975
\vol 25
\issue 1
\pages 1--36
\crossref{https://doi.org/10.1070/SM1975v025n01ABEH002195}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:443
    Russian version PDF:153
    English version PDF:26
    References:74
     
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