{
  "id": "1407.3578",
  "version": "v2",
  "published": "2014-07-14T09:36:22.000Z",
  "updated": "2014-10-24T13:12:34.000Z",
  "title": "Hankel determinants of the Cantor sequence",
  "authors": [
    "Zhi-xiong Wen",
    "Wen Wu"
  ],
  "comment": "20 pages, 1 figure",
  "journal": "Sci Sin Math, 2014, 44: 1059-1072",
  "doi": "10.1360/012014-53",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the help of the Hankel determinants, we prove that the irrationality exponent of the Cantor number, i.e. the transcendental number with Cantor sequence as its b-ary expansion, equals 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-14T09:36:22.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-24T13:12:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J04",
      "11J82",
      "41A21"
    ],
    "keywords": [
      "hankel determinants",
      "cantor sequence",
      "recurrent equations",
      "irrationality exponent",
      "cantor number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.3578W"
    }
  }
}