{
  "id": "1210.5506",
  "version": "v1",
  "published": "2012-10-19T19:33:49.000Z",
  "updated": "2012-10-19T19:33:49.000Z",
  "title": "A dual of MacMahon's theorem on plane partitions",
  "authors": [
    "Mihai Ciucu",
    "Christian Krattenthaler"
  ],
  "comment": "22 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A classical theorem of MacMahon states that the number of lozenge tilings of any centrally symmetric hexagon drawn on the triangular lattice is given by a beautifully simple product formula. In this paper we present a counterpart of this formula, corresponding to the {\\it exterior} of a concave hexagon obtained by turning 120 degrees after drawing each side (MacMahon's hexagon is obtained by turning 60 degrees after each step).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-10-19T19:33:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15"
    ],
    "keywords": [
      "plane partitions",
      "macmahons theorem",
      "beautifully simple product formula",
      "centrally symmetric hexagon drawn",
      "triangular lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}