A note on the number of abelian groups of a given order

Abstract

We point out an asymptotic formula for the power moments of the function $a(n)$, representing the number of non-isomorphic Abelian groups of order $n$. For the quadratic moment this improves an earlier result due to L. Zhang, M. Lü and W. Zhai.

arXiv comment3 pages, dedicated to the memory of Professor Gyula I. Maurer (1927-2012)

Cited by in corpus (1)

• Errata and Addenda to Mathematical Constants