{
  "id": "1307.3213",
  "version": "v1",
  "published": "2013-07-11T18:53:27.000Z",
  "updated": "2013-07-11T18:53:27.000Z",
  "title": "A combinatorial proof and refinement of a partition identity of Siladić",
  "authors": [
    "Jehanne Dousse"
  ],
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In this paper we give a combinatorial proof and refinement of a Rogers-Ramanujan type partition identity of Siladi\\'c arising from the study of Lie algebras. Our proof uses generating functions and $q$-difference equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-11T18:53:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P84"
    ],
    "keywords": [
      "combinatorial proof",
      "refinement",
      "rogers-ramanujan type partition identity",
      "lie algebras",
      "difference equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.3213D"
    }
  }
}