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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive
Izv. Akad. Nauk SSSR Ser. Mat., 1970 Volume 34, Issue 5, Pages 1064–1109 (Mi im2459)
This article is cited in 4 papers

Multiplicative functions and probabilistic number theory

B. V. Levin, A. S. Fainleib


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.

UDC: 511

MSC: 11N64, 11N60, 11N30, 11K65

Received: 21.07.1969


 English version: Mathematics of the USSR-Izvestiya, 1970, 4:5, 1071–1118

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