Additive arithmetic functions with limit normal distribution

Victor Volfson

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arXiv · 2104.10164

Additive arithmetic functions with limit normal distribution

Victor Volfson

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Abstract

This paper proves several assertions on sufficient conditions for the convergence of additive arithmetic functions to the normal distribution. A generalization of the Erdos-Kac theorem was proved and determines the rate of convergence of additive arithmetic functions to the normal distribution in the cases considered. The paper provides examples of using the proved assertions.

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Victor Volfson. 2021-04-20. Additive arithmetic functions with limit normal distribution. https://arxiv.org/abs/2104.10164

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