{
  "id": "1009.2944",
  "version": "v1",
  "published": "2010-09-15T14:41:03.000Z",
  "updated": "2010-09-15T14:41:03.000Z",
  "title": "Le plus grand facteur premier de la fonction de Landau",
  "authors": [
    "Marc Deléglise",
    "Jean-Louis Nicolas"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "After Landau, we define g(n) as the maximal order of a permutation of the symmetric group S(n) on n letters. We give several estimates of the largest prime divisor of g(n).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-15T14:41:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A25",
      "11N37",
      "11N05"
    ],
    "keywords": [
      "plus grand facteur premier",
      "largest prime divisor",
      "maximal order",
      "symmetric group",
      "permutation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.2944D"
    }
  }
}