Asymptotic behavior "almost everywhere" of additive and multiplicative arithmetic functions
General Mathematics
2023-02-02 v2
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.
Cite
@article{arxiv.2209.06907,
title = {Asymptotic behavior "almost everywhere" of additive and multiplicative arithmetic functions},
author = {Victor Volfson},
journal= {arXiv preprint arXiv:2209.06907},
year = {2023}
}
Comments
20 pages