The joint limit theorem for distributions of integer valued additive functions
Author:


AMS Classification:

11K65

Keywords:

additive functions, frequency, logarithmic frequency, weak convergence

Abstract:

The necessary and sufficient conditions for the weak convergence of and to the same limit law are obtained. Here is the distribution of a set of strongly additive functions with respect to the usual frequency on the positive integers, and is the distribution of the same set with respect to the logarithmic frequency. The case when for every prime is considered.

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Vol. 1 (9), 2006
