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Sur les fonctions multiplicatives complexes de module \(\leq 1\). (On complex valued multiplicative functions with absolute value \(\leq 1\)). (French) Zbl 0884.11035
Summary: The author gives detailed proofs of results that he had announced previously [H. Delange, C. R. Acad. Sci., Paris, Sér. A 276, 161-164 (1973; Zbl 0245.10043)] concerning the behaviour as \(N\) tends to infinity of the distribution of the values on the integers from 1 to \(N\) of a complex multiplicative function of absolute value \(\leq 1\). He adds some remarks not contained in the original paper.

11K65 Arithmetic functions in probabilistic number theory
11N64 Other results on the distribution of values or the characterization of arithmetic functions
Full Text: DOI Numdam EuDML
[1] H. DELANGE, Sur LES fonctions arithmétiques multiplicatives, Ann. Sci. Ecole Norm. Sup, (3) 78 (1961), 273-304. · Zbl 0234.10043
[2] H. DELANGE, On the distribution modulo 1 of additive functions, J. Indian Math. Soc. (N.S.), 34 (1970), 215-235. · Zbl 0234.10044
[3] H. DELANGE, Sur la distribution des valeurs des fonctions multiplicatives complexes, C. R. Acad. Sci. Paris, série A, 276 (1973), 161-164. · Zbl 0245.10043
[4] G. HALÁSZ, Über die mittelwerte multiplikativer zahlentheoretischer funktionen, Acta Math. Acad. Sci. Hungar., 19 (1968), 365-403. · Zbl 0165.05804
[5] E. WIRSINGDas asymptotische verhalten von summen über multiplikativer funktionen II, Acta Math. Acad. Sci. Hungar., 18 (1967), 411-467. · Zbl 0165.05901
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