On some sums involving the counting function of non-isomorphic abelian groups
Number Theory
2022-04-07 v1
Abstract
Let denote the number of non-isomorphic abelian groups with elements. In 1991 Ivi\'{c} proved an asymptotic formula of the sum In this paper, we will prove a sharper asymptotic formula for this sum.
Cite
@article{arxiv.2204.02576,
title = {On some sums involving the counting function of non-isomorphic abelian groups},
author = {Haihong Fan and Wenguang Zhai},
journal= {arXiv preprint arXiv:2204.02576},
year = {2022}
}