{
  "id": "1106.4633",
  "version": "v2",
  "published": "2011-06-23T05:45:02.000Z",
  "updated": "2011-06-28T05:16:46.000Z",
  "title": "Counterexamples of the conjecture on roots of Ehrhart polynomials",
  "authors": [
    "Akihiro Higashitani"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "An outstanding conjecture on roots of Ehrhart polynomials says that all roots $\\alpha$ of the Ehrhart polynomial of an integral convex polytope of dimension $d$ satisfy $-d \\leq \\Re(\\alpha) \\leq d-1$. In this paper, we suggest some counterexamples of this conjecture.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-06-28T05:16:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "52B12"
    ],
    "keywords": [
      "counterexamples",
      "integral convex polytope",
      "ehrhart polynomials says",
      "outstanding conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.4633H"
    }
  }
}