Abstract
The proof of the existence of a limit distribution for arithmetic multiplicative functions with values in the interval $\lbrack-1, 1\rbrack$, and characterizations of degenerateness and symmetry for such a distribution, can be obtained in a simple manner by combining the famous mean-value theorem of Wirsing with the method of moments of probability theory.
Citation
Jesus de la Cal. "On the Limit Distribution of Multiplicative Functions with Values in the Interval $\lbrack -1, 1 \rbrack$." Ann. Probab. 18 (2) 901 - 904, April, 1990. https://doi.org/10.1214/aop/1176990866
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