{
  "id": "math/0612603",
  "version": "v2",
  "published": "2006-12-20T15:20:55.000Z",
  "updated": "2007-03-07T10:34:26.000Z",
  "title": "A property of algebraic univoque numbers",
  "authors": [
    "M. de Vries"
  ],
  "comment": "5 pages, journal version, to appear in Acta Math. Hungar",
  "categories": [
    "math.NT"
  ],
  "abstract": "Consider the set $\\uu$ of real numbers $q \\ge 1$ for which only one sequence $(c_i)$ of integers $0 \\le c_i \\le q$ satisfies the equality $\\sum_{i=1}^{\\infty} c_i q^{-i} = 1$. In this note we show that the set of algebraic numbers in $\\uu$ is dense in the closure $\\uuu$ of $\\uu$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-03-07T10:34:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A63",
      "11B83"
    ],
    "keywords": [
      "algebraic univoque numbers",
      "algebraic numbers",
      "real numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12603D"
    }
  }
}