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

preprint2012arXivOpen access

Abstract

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

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