{
  "id": "math/0602464",
  "version": "v2",
  "published": "2006-02-21T14:53:09.000Z",
  "updated": "2006-09-09T12:05:28.000Z",
  "title": "Norm bounds for Ehrhart polynomial roots",
  "authors": [
    "Benjamin Braun"
  ],
  "comment": "3 pages, to appear in Discrete and Computational Geometry",
  "journal": "Discrete Comput. Geom. 39 (2008), no. 1-3, 191--193",
  "categories": [
    "math.CO"
  ],
  "abstract": "M. Beck, J. De Loera, M. Develin, J. Pfeifle and R. Stanley found that the roots of the Ehrhart polynomial of a d-dimensional lattice polytope are bounded above in norm by 1+(d+1)!. We provide an improved bound which is quadratic in d and applies to a larger family of polynomials.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-09-09T12:05:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C07",
      "52B20",
      "26C10"
    ],
    "keywords": [
      "ehrhart polynomial roots",
      "norm bounds",
      "d-dimensional lattice polytope"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......2464B"
    }
  }
}