{
  "id": "math/9905109",
  "version": "v1",
  "published": "1999-05-19T08:05:38.000Z",
  "updated": "1999-05-19T08:05:38.000Z",
  "title": "Universal Counting of Lattice Points in Polytopes",
  "authors": [
    "Imre Bárány",
    "Jean-Michel Kantor"
  ],
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "Given a lattice polytope $P$ (with underlying lattice $\\lo$), the universal counting function $\\uu_P(\\lo')=|P\\cap \\lo'|$ is defined on all lattices $\\lo'$ containing $\\lo$. Motivated by questions concerning lattice polytopes and the Ehrhart polynomial, we study the equation $\\uu_P=\\uu_Q$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-05-19T08:05:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lattice points",
      "questions concerning lattice polytopes",
      "universal counting function",
      "ehrhart polynomial",
      "underlying lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......5109B"
    }
  }
}