Asymptotic behavior "almost everywhere" of additive and multiplicative arithmetic functions

Victor Volfson

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arXiv · 2209.06907

Asymptotic behavior "almost everywhere" of additive and multiplicative arithmetic functions

Victor Volfson

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Abstract

We define the asymptotic behavior "almost everywhere" of additive and multiplicative arithmetic functions in the paper. Classes of additive and multiplicative arithmetic functions are singled out for which the asymptotics coincides "almost everywhere" with the asymptotics of the corresponding strongly additive and multiplicative arithmetic functions. Several assertions are proved and examples are considered.

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Victor Volfson. 2022-08-20. Asymptotic behavior "almost everywhere" of additive and multiplicative arithmetic functions. https://arxiv.org/abs/2209.06907

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