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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 5, Pages 1071–1118
DOI: https://doi.org/10.1070/IM1970v004n05ABEH000945 (Mi im2459) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Multiplicative functions and probabilistic number theory

B. V. Levin, A. S. Fainleib
English version PDF (1321 kB) Citations (4)
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DOI: https://doi.org/10.1070/IM1970v004n05ABEH000945
Abstract: The asymptotic behavior of sums of multiplicative functions on a segment of natural numbers is studied. The results obtained are applied to investigate the distribution of values of real additive functions and their fractional parts.
Received: 21.07.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1970, Volume 34, Issue 5, Pages 1064–1109
Bibliographic databases:
UDC: 511
MSC: 11N64, 11N60, 11N30, 11K65
Language: English
Original paper language: Russian
Citation: B. V. Levin, A. S. Fainleib, “Multiplicative functions and probabilistic number theory”, Izv. Akad. Nauk SSSR Ser. Mat., 34:5 (1970), 1064–1109; Math. USSR-Izv., 4:5 (1970), 1071–1118
Citation in format AMSBIB
\Bibitem{LevFai70}
\by B.~V.~Levin, A.~S.~Fainleib
\paper Multiplicative functions and probabilistic number theory
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1970
\vol 34
\issue 5
\pages 1064--1109
\mathnet{http://mi.mathnet.ru/im2459}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=280456}
\zmath{https://zbmath.org/?q=an:0231.10026}
\transl
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 5
\pages 1071--1118
\crossref{https://doi.org/10.1070/IM1970v004n05ABEH000945}
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  • https://www.mathnet.ru/eng/im/v34/i5/p1064
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:333
    Russian version PDF:430
    English version PDF:2
    References:32
    First page:1
     
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