{
  "id": "1610.01868",
  "version": "v1",
  "published": "2016-09-24T08:26:53.000Z",
  "updated": "2016-09-24T08:26:53.000Z",
  "title": "Conditions Equivalent to the Descartes-Frenicle-Sorli Conjecture on Odd Perfect Numbers",
  "authors": [
    "Jose Arnaldo B. Dris"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The Descartes-Frenicle-Sorli conjecture predicts that $k=1$ if $q^k n^2$ is an odd perfect number with Euler prime $q$. In this note, we present some conditions equivalent to this conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-09-24T08:26:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25"
    ],
    "keywords": [
      "odd perfect number",
      "conditions equivalent",
      "descartes-frenicle-sorli conjecture predicts",
      "euler prime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}