{
  "id": "0712.3681",
  "version": "v1",
  "published": "2007-12-21T12:08:57.000Z",
  "updated": "2007-12-21T12:08:57.000Z",
  "title": "On limit theorems for continued fractions",
  "authors": [
    "Zbigniew S. Szewczak"
  ],
  "comment": "16 pages",
  "journal": "J. Theor. Probab. 22 (2009), pp. 239--255",
  "doi": "10.1007/s10959-007-0139-1",
  "categories": [
    "math.PR"
  ],
  "abstract": "It is shown that for sums of functionals of digits in continued fraction expansion the Kolmogorov-Feller weak laws of large numbers and the Khinchine-L\\'evy-Feller-Raikov characterization of the domain of attraction of the normal law hold.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-12-21T12:08:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60F05",
      "60F10",
      "11K50"
    ],
    "keywords": [
      "limit theorems",
      "kolmogorov-feller weak laws",
      "normal law hold",
      "large numbers",
      "khinchine-levy-feller-raikov characterization"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.3681S"
    }
  }
}