{
  "id": "1701.06762",
  "version": "v1",
  "published": "2017-01-24T08:10:14.000Z",
  "updated": "2017-01-24T08:10:14.000Z",
  "title": "Multiplicative partition functions for reverse plane partitions derived from an integrable dynamical system",
  "authors": [
    "Shuhei Kamioka"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "A close connection of reverse plane partitions with an integrable dynamical system called the discrete two-dimensional (2D) Toda molecule is clarified. It is shown that a multiplicative partition function for reverse plane partition of arbitrary shape with bounded parts can be obtained from each non-vanishing solution to the discrete 2D Toda molecule. As an example a partition function which generalizes MacMahon's triple product formula as well as Gansner's multi-trace generating function is derived from a specific solution to the dynamical system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-24T08:10:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "reverse plane partition",
      "multiplicative partition function",
      "integrable dynamical system",
      "generalizes macmahons triple product formula",
      "discrete 2d toda molecule"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}