{
  "id": "1001.2525",
  "version": "v1",
  "published": "2010-01-14T18:28:00.000Z",
  "updated": "2010-01-14T18:28:00.000Z",
  "title": "On the Diophantine Equation $x^{2}+5^{a}\\cdot 11^{b}=y^{n} $",
  "authors": [
    "I. N. Cangül",
    "M. Demirci",
    "G. Soydan",
    "N. Tzanakis"
  ],
  "comment": "21 pages. To appear in Funct. Approx. Comment. Math",
  "categories": [
    "math.NT"
  ],
  "abstract": "We give the complete solution in integers $(n,a,b,x,y)$ of the title equation when $\\gcd(x,y)=1$, except for the case when $xab$ is odd.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-14T18:28:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D61",
      "11D25",
      "11D41",
      "11D59",
      "11J86"
    ],
    "keywords": [
      "diophantine equation",
      "complete solution",
      "title equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}