Multiplicative functions and probabilistic number theory
Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 1071-1118

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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.
@article{IM2_1970_4_5_a5,
     author = {B. V. Levin and A. S. Fainleib},
     title = {Multiplicative functions and probabilistic number theory},
     journal = {Izvestiya. Mathematics },
     pages = {1071--1118},
     publisher = {mathdoc},
     volume = {4},
     number = {5},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a5/}
}
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B. V. Levin; A. S. Fainleib. Multiplicative functions and probabilistic number theory. Izvestiya. Mathematics , Tome 4 (1970) no. 5, pp. 1071-1118. http://geodesic.mathdoc.fr/item/IM2_1970_4_5_a5/