{
  "id": "0907.0771",
  "version": "v1",
  "published": "2009-07-06T15:00:53.000Z",
  "updated": "2009-07-06T15:00:53.000Z",
  "title": "About the Diophantine Equation $x^{4}-q^{4}=py^{r}$",
  "authors": [
    "Diana Savin"
  ],
  "comment": "12 pages, Preliminary version",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we prove a theorem about the integer solutions to the Diophantine equation $x^{4}-q^{4}=py^{r}$, extending previous work of K.Gy\\H ory, and F.Luca and A.Togbe, and of the author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-06T15:00:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D41"
    ],
    "keywords": [
      "diophantine equation",
      "integer solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0771S"
    }
  }
}