{
  "id": "1811.02251",
  "version": "v1",
  "published": "2018-11-06T09:32:57.000Z",
  "updated": "2018-11-06T09:32:57.000Z",
  "title": "On partition identities of Capparelli and Primc",
  "authors": [
    "Jehanne Dousse"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CO",
    "math.NT",
    "math.QA"
  ],
  "abstract": "We show that, up to multiplication by a factor $\\frac{1}{(cq;q)_{\\infty}}$, the weighted words version of Capparelli's identity is a particular case of the weighted words version of Primc's identity. We prove this first using recurrences, and then bijectively. We also give finite versions of both identities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-11-06T09:32:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "05A19",
      "11P84",
      "17B67",
      "17B69"
    ],
    "keywords": [
      "partition identities",
      "weighted words version",
      "primcs identity",
      "finite versions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}