{
  "id": "1203.6473",
  "version": "v2",
  "published": "2012-03-29T09:21:44.000Z",
  "updated": "2012-11-10T20:17:23.000Z",
  "title": "A note on the number of abelian groups of a given order",
  "authors": [
    "László Tóth"
  ],
  "comment": "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"
  ],
  "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. L\\\"u and W. Zhai.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-11-10T20:17:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N37",
      "11N45"
    ],
    "keywords": [
      "non-isomorphic abelian groups",
      "asymptotic formula",
      "earlier result",
      "quadratic moment",
      "power moments"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.6473T"
    }
  }
}