{
  "id": "0709.1560",
  "version": "v1",
  "published": "2007-09-11T09:26:57.000Z",
  "updated": "2007-09-11T09:26:57.000Z",
  "title": "On two notions of complexity of algebraic numbers",
  "authors": [
    "Yann Bugeaud",
    "Jan-Hendrik Evertse"
  ],
  "comment": "31 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "we derive new, improved lower bounds for the block complexity of an irrational algebraic number and for the number of digit changes in the b-ary expansion of an irrational algebraic number. To this end, we apply a quantitative version of the Subspace Theorem due to Evertse and Schlickewei (2002).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-11T09:26:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J68",
      "11J61",
      "11J82"
    ],
    "keywords": [
      "irrational algebraic number",
      "block complexity",
      "lower bounds",
      "digit changes",
      "b-ary expansion"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.4064/aa133-3-3",
      "journal": "Acta Arithmetica",
      "year": 2008,
      "volume": 133,
      "number": 3,
      "pages": 221
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008AcAri.133..221B"
    }
  }
}