Geodesic
The joint distribution of multiplicative functions
Čebyševskij sbornik, Tome 10 (2009) no. 1, pp. 41-58

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In the paper, the existence of a joint limit distribution for a real multiplicative and a complex-valued multiplicative functions is considered. For one class of multiplicative functions, the necessary and sufficient conditions for the existence of a limit distribution are obtained. 
@article{CHEB_2009_10_1_a3,
     author = {A. Laurin\v{c}ikas},
     title = {The joint distribution of multiplicative functions},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {41--58},
     publisher = {mathdoc},
     volume = {10},
     number = {1},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2009_10_1_a3/}
}
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A. Laurinčikas. The joint distribution of multiplicative functions. Čebyševskij sbornik, Tome 10 (2009) no. 1, pp. 41-58. http://geodesic.mathdoc.fr/item/CHEB_2009_10_1_a3/