{
  "id": "math/0411072",
  "version": "v2",
  "published": "2004-11-03T20:30:11.000Z",
  "updated": "2005-09-19T20:56:33.000Z",
  "title": "A combinatorial proof of the Rogers-Ramanujan and Schur identities",
  "authors": [
    "Cilanne Boulet",
    "Igor Pak"
  ],
  "comment": "12 pages, 5 figures; incorporated referee suggestions, simplified definition of (k,m)-rank, to appear in JCT(A)",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direct bijections.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-09-19T20:56:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "combinatorial proof",
      "schur identities",
      "first rogers-ramanujan identity",
      "direct bijections"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11072B"
    }
  }
}