{
  "id": "1103.5772",
  "version": "v1",
  "published": "2011-03-29T20:34:55.000Z",
  "updated": "2011-03-29T20:34:55.000Z",
  "title": "On rational approximations of algebraic numbers of higher orders and certain parametrization for generalized Pell's equations",
  "authors": [
    "Roman Zatorsky"
  ],
  "comment": "30 pages, in Russian",
  "categories": [
    "math.NT"
  ],
  "abstract": "A new algebraic object is introduced - recurrent fractions, which is an n-dimensional generalization of continued fractions. It is used to describe an algorithm for rational approximations of algebraic irrational numbers. Some parametrization for generalized Pell's equations is constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-29T20:34:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A55",
      "11J70"
    ],
    "keywords": [
      "generalized pells equations",
      "rational approximations",
      "algebraic numbers",
      "higher orders",
      "parametrization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1103.5772Z"
    }
  }
}