{
  "id": "1103.3762",
  "version": "v1",
  "published": "2011-03-19T07:33:26.000Z",
  "updated": "2011-03-19T07:33:26.000Z",
  "title": "Solving the Pell equation via Rédei rational functions",
  "authors": [
    "Stefano Barbero",
    "Umberto Cerruti",
    "Nadir Murru"
  ],
  "comment": "11 pages",
  "journal": "The Fibonacci Quarterly, Vol. 48, p. 348-357, 2010",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we define a new product over $\\mathbb{R}^{\\infty}$, which allows us to obtain a group isomorphic to $\\mathbb R^*$ with the usual product. This operation unexpectedly offers an interpretation of the R\\'edei rational functions, making more clear some of their properties, and leads to another product, which generates a group structure over the Pell hyperbola. Finally, we join together these results, in order to evaluate solutions of Pell equation in an original way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-19T07:33:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A55",
      "11B39",
      "11D09"
    ],
    "keywords": [
      "rédei rational functions",
      "pell equation",
      "redei rational functions",
      "usual product",
      "operation unexpectedly offers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.3762B"
    }
  }
}