{
  "id": "1205.0961",
  "version": "v1",
  "published": "2012-05-04T14:10:35.000Z",
  "updated": "2012-05-04T14:10:35.000Z",
  "title": "On the expansion of some exponential periods in an integer base",
  "authors": [
    "Boris Adamczewski"
  ],
  "comment": "11 pages",
  "journal": "Math. Ann. 346 (2010), 107-116",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We derive a lower bound for the subword complexity of the base-$b$ expansion ($b\\geq 2$) of all real numbers whose irrationality exponent is equal to 2. This provides a generalization of a theorem due to Ferenczi and Mauduit. As a consequence, we obtain the first lower bound for the subword complexity of the number $e$ and of some other transcendental exponential periods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-04T14:10:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integer base",
      "subword complexity",
      "first lower bound",
      "transcendental exponential periods",
      "real numbers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0961A"
    }
  }
}