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Factorial Moments of Distributions of Additive Functions
Authors:Šiaulys  J.
Affiliation:(1) Vilnius University, Naugarduko 24, 2600 Vilnius, Lithuania
Abstract:
We study the weak convergence of the distribution functions

$$[x]^{ - 1} # { m leqslant x:f_x (m) < u} .$$
Here fx is a set (x ges 2) of integer-valued strongly additive functions. The method of factorial moments is crucial in the proofs.
Keywords:additive functions  weak convergence  factorial moments
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