### On the Limit Distribution of Multiplicative Functions with Values in the Interval $\lbrack -1, 1 \rbrack$

Jesus de la Cal
Source: Ann. Probab. Volume 18, Number 2 (1990), 901-904.

#### 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.

First Page:
Primary Subjects: 11N64
Secondary Subjects: 60F05
Full-text: Open access