{
  "id": "1906.00089",
  "version": "v1",
  "published": "2019-05-31T21:33:55.000Z",
  "updated": "2019-05-31T21:33:55.000Z",
  "title": "A bijective proof and generalization of Siladić's Theorem",
  "authors": [
    "Isaac Konan"
  ],
  "comment": "25 pages, extended abstract FPSAC2018",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In a recent paper, Dousse introduced a refinement of Siladi\\'c's theorem on partitions, where parts occur in two primary and three secondary colors. Her proof used the method of weighted words and $q$-difference equations. The purpose of this paper is to give a bijective proof of a generalization of Dousse's theorem from two primary colors to an arbitrary number of primary colors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-31T21:33:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P84",
      "05A19"
    ],
    "keywords": [
      "bijective proof",
      "siladićs theorem",
      "generalization",
      "primary colors",
      "parts occur"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}