{
  "id": "2308.02742",
  "version": "v1",
  "published": "2023-08-04T23:35:31.000Z",
  "updated": "2023-08-04T23:35:31.000Z",
  "title": "Pell equation: A generalization of chakravala algorithm using the LLL-algorithm",
  "authors": [
    "Jose I. Liberati"
  ],
  "comment": "16 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We present a generalization of chakravala and continued fraction algorithms to solve the Pell equation, using the LLL-algorithm for rank 2 lattices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-04T23:35:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11D09",
      "11A55"
    ],
    "keywords": [
      "pell equation",
      "chakravala algorithm",
      "lll-algorithm"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}