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

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

2012-03-29

arxiv.org/abs/1203.6473v1

Mathematics

Number Theory

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

Scientific paper

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.
L\"u and W. Zhai.

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