Geodesic
The joint distribution of additive and complex-valued multiplicative functions
Communications in Mathematics, Tome 13 (2005) no. 1, pp. 35-46

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In the paper the necessary and sufficient conditions for the existence of joint limit distribution for real additive and complex-valued multiplicative function are presented.
Classification : 11N60
Keywords: additive function; characteristic transform; probability measure; multiplicative function; weak convergence 
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     title = {The joint distribution of additive and complex-valued multiplicative functions},
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Laurinčikas, Antanas. The joint distribution of additive and complex-valued multiplicative functions. Communications in Mathematics, Tome 13 (2005) no. 1, pp. 35-46. http://geodesic.mathdoc.fr/item/COMIM_2005__13_1_a4/