On the distribution of complex-valued multiplicative functions
Journal de théorie des nombres de Bordeaux, Tome 8 (1996) no. 1, pp. 183-203.

Soient g 1 (m),g 2 (m) deux fonctions multiplicatives a valeurs complexes. Dans un article on donne les conditions nécessaires et suffisantes de la convergence en un certain sens de

1 nN n ((g 1 (m),g 2 (m))∈A),A∈ℬ(ℂ 2 ),
quand n→∞.

Let g j (m),j=1,2, be complex-valued multiplicative functions. In the paper the necessary and sufficient conditions are indicated for the convergence in some sense of probability measure

1 ncard0≤m≤n:(g 1 (m),g 2 (m))∈A,A∈ℬ(ℂ 2 ),
as n→∞.

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Antanas Laurinčikas. On the distribution of complex-valued multiplicative functions. Journal de théorie des nombres de Bordeaux, Tome 8 (1996) no. 1, pp. 183-203. https://jtnb.centre-mersenne.org/item/JTNB_1996__8_1_183_0/

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