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arXiv:1203.6473 [math.NT]AbstractReferencesReviewsResources

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

László Tóth

Published 2012-03-29, updated 2012-11-10Version 2

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.

Comments: 3 pages, dedicated to the memory of Professor Gyula I. Maurer (1927-2012)
Journal: Math. Pannonica 23 (2012), 157-160
Categories: math.NT, math.GR
Subjects: 11N37, 11N45
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