{
  "id": "1010.4863",
  "version": "v2",
  "published": "2010-10-23T09:39:00.000Z",
  "updated": "2010-11-23T13:52:07.000Z",
  "title": "On the Metrical Theory of a Generalized Continued Fraction Expansion",
  "authors": [
    "Dan Lascu",
    "Katsunori Kawamura"
  ],
  "comment": "This paper has been withdrawn by the authors. 12 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We introduced a new continued fraction expansions in our previous paper. For these expansions, we show formulae of probability about incomplete quotients. Furthermore, we prove the existence of invariant measures with respect to the continued fraction transformations associated with expansions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-23T13:52:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A55",
      "11K50",
      "11J70",
      "28D05",
      "40A15"
    ],
    "keywords": [
      "generalized continued fraction expansion",
      "metrical theory",
      "incomplete quotients",
      "invariant measures",
      "continued fraction transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.4863L"
    }
  }
}