{
  "id": "1112.5984",
  "version": "v1",
  "published": "2011-12-27T16:28:01.000Z",
  "updated": "2011-12-27T16:28:01.000Z",
  "title": "A p-adic look at the Diophantine equation x^{2}+11^{2k}=y^{n}",
  "authors": [
    "Ismail Naci Cangul",
    "Gokhan Soydan",
    "Yilmaz Simsek"
  ],
  "comment": "4 pages",
  "journal": "Numerical Analysis And Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics, 2009 Vol.1, pp. 275-277",
  "doi": "10.1063/1.3241447",
  "categories": [
    "math.NT"
  ],
  "abstract": "We find all solutions of Diophantine equation x^{2}+11^{2k} = y^{n} where x>=1, y>=1, n>=3 and k is natural number. We give p-adic interpretation of this equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-27T16:28:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D41",
      "11D61",
      "02.30.Jr",
      "02.60.Lj",
      "02.60.Gf"
    ],
    "keywords": [
      "diophantine equation",
      "p-adic look",
      "natural number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009AIPC.1168..275C"
    }
  }
}