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On the distribution function of additive functions. (English) Zbl 0061.07902
The author extends his previous work on the distribution of values of additive arithmetical functions [J. Lond. Math. Soc. 13, 119–127 (1938; Zbl 0018.29301); Am. J. Math. 61, 713–721 (1939; Zbl 0022.00903) and Am. J. Math. 61, 722–725 (1939; Zbl 0022.01001)]. Many striking results are obtained.
Reviewer: P. T. Bateman

MSC:
11N60 Distribution functions associated with additive and positive multiplicative functions
11K65 Arithmetic functions in probabilistic number theory
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