{
  "id": "math/0304425",
  "version": "v1",
  "published": "2003-04-27T22:09:59.000Z",
  "updated": "2003-04-27T22:09:59.000Z",
  "title": "Modular congruences, Q-curves, and the diophantine equation x^4 + y^4 = z^p",
  "authors": [
    "Luis Dieulefait"
  ],
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "We prove two results concerning the generalized Fermat equation $x^4+y^4=z^p$. In particular we prove that the First Case is true if $p \\neq 7$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-04-27T22:09:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D41",
      "11F11"
    ],
    "keywords": [
      "diophantine equation",
      "modular congruences",
      "generalized fermat equation",
      "first case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4425D"
    }
  }
}