{
  "id": "1810.06817",
  "version": "v1",
  "published": "2018-10-16T05:36:32.000Z",
  "updated": "2018-10-16T05:36:32.000Z",
  "title": "On the Diophantine equation $f(x)=2f(y)$",
  "authors": [
    "Sanjay Bhatter",
    "Richa Sharma"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $f(x)=x^{2}(x^{2}-1)(x^{2}-2)(x^{2}-3).$ We prove that the Diophantine equation $ f(x)=2f(y)$ has no solutions in positive integers $x$ and $y$, except $(x, y)=(1, 1)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-16T05:36:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D45",
      "11D41",
      "11D61"
    ],
    "keywords": [
      "diophantine equation",
      "positive integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}