{
  "id": "1706.04565",
  "version": "v1",
  "published": "2017-06-14T16:13:09.000Z",
  "updated": "2017-06-14T16:13:09.000Z",
  "title": "A Generalization of the Gauss-Kuzmin-Wirsing constant",
  "authors": [
    "Peng Sun"
  ],
  "comment": "12 pages",
  "categories": [
    "math.DS",
    "math.NT"
  ],
  "abstract": "We generalize the result of Wirsing on Gauss transformation to the generalized tranformation $T_p(x)=\\{\\cfrac{p}{x}\\}$ for any positive integer $p$. We give an estimate for the generalized Gauss-Kuzmin-Wirsing constant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-14T16:13:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J70",
      "11K50",
      "37C30"
    ],
    "keywords": [
      "generalization",
      "gauss transformation",
      "generalized gauss-kuzmin-wirsing constant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}