{
  "id": "1312.7049",
  "version": "v3",
  "published": "2013-12-26T03:50:55.000Z",
  "updated": "2013-12-31T08:17:42.000Z",
  "title": "Ehrhart polynomials with negative coefficients",
  "authors": [
    "Takayuki Hibi",
    "Akihiro Higashitani",
    "Akiyoshi Tsuchiya",
    "Koutarou Yoshida"
  ],
  "comment": "4 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "It is shown that, for each $d \\geq 4$, there exists an integral convex polytope $\\mathcal{P}$ of dimension $d$ such that each of the coefficients of $n, n^{2}, \\ldots, n^{d-2}$ of its Ehrhart polynomial $i(\\mathcal{P},n)$ is negative.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-12-31T08:17:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "52B11"
    ],
    "keywords": [
      "ehrhart polynomial",
      "negative coefficients",
      "integral convex polytope"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.7049H"
    }
  }
}