{
  "id": "1309.5154",
  "version": "v2",
  "published": "2013-09-20T01:59:44.000Z",
  "updated": "2014-08-11T20:53:45.000Z",
  "title": "Diophantine properties of continued fractions on the Heisenberg group",
  "authors": [
    "Joseph Vandehey"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We provide several results on the diophantine properties of continued fractions on the Heisenberg group, many of which are analogous to classical results for real continued fractions. In particular, we show an analog of Khinchin's theorem and that convergents are also best approximants up to a constant factor of the denominator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-08-11T20:53:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J70",
      "11A55"
    ],
    "keywords": [
      "heisenberg group",
      "diophantine properties",
      "constant factor",
      "best approximants",
      "real continued fractions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.5154V"
    }
  }
}