{
  "id": "1201.4161",
  "version": "v1",
  "published": "2012-01-19T19:54:12.000Z",
  "updated": "2012-01-19T19:54:12.000Z",
  "title": "Hausdorff dimension of the set of real numbers of Lagrange value three",
  "authors": [
    "Thomas A. Schmidt",
    "Mark Sheingorn"
  ],
  "comment": "13 pages, one figure",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that the set of real numbers of Lagrange value 3 has Hausdorff dimension zero by showing the appropriate generalization for each element of the Teichmueller space of the appropriate subgroup of the classical modular group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-19T19:54:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11J06",
      "28A78",
      "20H10"
    ],
    "keywords": [
      "real numbers",
      "lagrange value",
      "hausdorff dimension zero",
      "appropriate generalization",
      "classical modular group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}