{
  "id": "1311.1560",
  "version": "v1",
  "published": "2013-11-07T01:36:39.000Z",
  "updated": "2013-11-07T01:36:39.000Z",
  "title": "Values of binary quadratic forms at integer points and Schmidt games",
  "authors": [
    "Dmitry Kleinbock",
    "Barak Weiss"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that for any countable set $A$ of real numbers, the set of binary indefinite quadratic forms $Q$ such that the closure of $Q(\\mathbb{Z}^2)$ is disjoint from $A$ has full Hausdorff dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-07T01:36:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11E16",
      "37A45",
      "37D40"
    ],
    "keywords": [
      "binary quadratic forms",
      "integer points",
      "schmidt games",
      "binary indefinite quadratic forms",
      "full hausdorff dimension"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.1560K"
    }
  }
}