{
  "id": "1303.2069",
  "version": "v1",
  "published": "2013-03-08T18:08:58.000Z",
  "updated": "2013-03-08T18:08:58.000Z",
  "title": "Perfect squares have at most five divisors close to its square root",
  "authors": [
    "Tsz Ho Chan"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we consider a conjecture of Erd\\H{o}s and Rosenfeld when the number is a perfect square. In particular, we show that every perfect square $n$ can have at most five divisors between $\\sqrt{n} - c \\sqrt[4]{n}$ and $\\sqrt{n} + c \\sqrt[4]{n}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-08T18:08:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perfect square",
      "divisors close",
      "square root"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.2069C"
    }
  }
}