{
  "id": "1906.09947",
  "version": "v1",
  "published": "2019-06-18T14:03:18.000Z",
  "updated": "2019-06-18T14:03:18.000Z",
  "title": "On Deficient Perfect Numbers with Four Distinct Prime Factors",
  "authors": [
    "Parama Dutta",
    "Manjil P. Saikia"
  ],
  "comment": "11 pages, preprint version (journal version may differ). To appear in Asian-European Journal of Mathematics",
  "doi": "10.1142/S1793557120501260",
  "categories": [
    "math.NT"
  ],
  "abstract": "For a positive integer $n$, if $\\sigma(n)$ denotes the sum of the positive divisors of $n$, then $n$ is called a deficient perfect number if $\\sigma(n)=2n-d$ for some positive divisor $d$ of $n$. In this paper, we prove some results about odd deficient perfect numbers with four distinct prime factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-18T14:03:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25",
      "11A41",
      "11B99"
    ],
    "keywords": [
      "distinct prime factors",
      "odd deficient perfect numbers",
      "positive divisor",
      "positive integer"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "World Scientific"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}