{
  "id": "1102.0679",
  "version": "v3",
  "published": "2011-02-03T13:31:00.000Z",
  "updated": "2011-11-22T18:03:57.000Z",
  "title": "Power-free values of the polynomial t_1...t_r - 1",
  "authors": [
    "Pierre Le Boudec"
  ],
  "comment": "Final version",
  "journal": "Bull. Aust. Math. Soc. 85 (2012), no. 1, 154-163",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let k, r > 1 be two integers. We prove an asymptotic formula for the number of k-free values of the r variables polynomial t_1...t_r - 1 over the integral points of [1, x]^r.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-11-22T18:03:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11N32"
    ],
    "keywords": [
      "power-free values",
      "asymptotic formula",
      "k-free values",
      "variables polynomial"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.0679L"
    }
  }
}