{
  "id": "0806.2490",
  "version": "v2",
  "published": "2008-06-16T03:30:18.000Z",
  "updated": "2010-03-22T22:05:20.000Z",
  "title": "Pell's equation without irrational numbers",
  "authors": [
    "N. J. Wildberger"
  ],
  "comment": "10 pages, 3 figures added some references, fixed typos, added remarks on Speeding up the algorithm",
  "categories": [
    "math.NT"
  ],
  "abstract": "We solve Pell's equation in a simple way without continued fractions or irrational numbers, and relate the algorithm to the Stern Brocot tree.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-22T22:05:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "irrational numbers",
      "pells equation",
      "simple way",
      "stern brocot tree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.2490W"
    }
  }
}