{
  "id": "1311.5911",
  "version": "v1",
  "published": "2013-11-22T21:48:26.000Z",
  "updated": "2013-11-22T21:48:26.000Z",
  "title": "A remark on solutions of the Pell equation",
  "authors": [
    "Jean Bourgain"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The main purpose of this Note is to provide a non-trivial bound on certain Kloosterman sums as considered in the recent paper of E. Fouvry [F], leading to a small improvement of his result on the Pell equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-22T21:48:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D09",
      "11L05"
    ],
    "keywords": [
      "pell equation",
      "small improvement",
      "main purpose",
      "kloosterman sums",
      "non-trivial bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.5911B"
    }
  }
}