{
  "id": "1005.3448",
  "version": "v2",
  "published": "2010-05-19T14:13:51.000Z",
  "updated": "2010-07-09T13:44:10.000Z",
  "title": "On Hall's conjecture",
  "authors": [
    "Andrej Dujella"
  ],
  "comment": "7 pages, minor changes, to appear in Acta Arith",
  "journal": "Acta Arith. 147 (2011), 397-402",
  "doi": "10.4064/aa147-4-5",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We show that for any even positive integer d there exist polynomials x and y with integer coefficients such that deg(x) = 2d, deg(y) = 3d and deg(x^3 - y^2) = d + 5.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-09T13:44:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11C08",
      "11D25",
      "11D75"
    ],
    "keywords": [
      "halls conjecture",
      "integer coefficients",
      "positive integer"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.3448D"
    }
  }
}