{
  "id": "0707.0532",
  "version": "v1",
  "published": "2007-07-04T03:06:43.000Z",
  "updated": "2007-07-04T03:06:43.000Z",
  "title": "A generalization of MacMahon's formula",
  "authors": [
    "Mirjana Vuletić"
  ],
  "comment": "19 pages, 5 figures",
  "journal": "Trans. Amer. Math. Soc. 361 (2009), 2789-2804",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We generalize the generating formula for plane partitions known as MacMahon's formula as well as its analog for strict plane partitions. We give a 2-parameter generalization of these formulas related to Macdonald's symmetric functions. The formula is especially simple in the Hall-Littlewood case. We also give a bijective proof of the analog of MacMahon's formula for strict plane partitions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-04T03:06:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "macmahons formula",
      "strict plane partitions",
      "generalization",
      "macdonalds symmetric functions",
      "hall-littlewood case"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Trans. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.0532V"
    }
  }
}