{
  "id": "1308.2156",
  "version": "v3",
  "published": "2013-07-16T20:34:45.000Z",
  "updated": "2014-10-03T11:42:09.000Z",
  "title": "A Short Proof for Sorli's Conjecture on Odd Perfect Numbers",
  "authors": [
    "Jose Arnaldo B. Dris"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "If $N={q^k}{n^2}$ is an odd perfect number given in Eulerian form, then Sorli's conjecture predicts that $k=\\nu_{q}(N)=1$. In this article, we give a short proof for this conjecture.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-05T01:22:32.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-03T11:42:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A05",
      "11J25",
      "11J99"
    ],
    "keywords": [
      "odd perfect number",
      "short proof",
      "sorlis conjecture predicts",
      "eulerian form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.2156D"
    }
  }
}