{
  "id": "math/0404508",
  "version": "v2",
  "published": "2004-04-28T07:04:05.000Z",
  "updated": "2007-09-11T10:17:53.000Z",
  "title": "An iterative-bijective approach to generalizations of Schur's theorem",
  "authors": [
    "Sylvie Corteel",
    "Jeremy Lovejoy"
  ],
  "comment": "16 pages",
  "journal": "Europ. J. Combin. 27 (2006), 496-512",
  "categories": [
    "math.CO"
  ],
  "abstract": "We start with a bijective proof of Schur's theorem due to Alladi and Gordon and describe how a particular iteration of it leads to some very general theorems on colored partitions. These theorems imply a number of important results, including Schur's theorem, Bressoud's generalization of a theorem of G\\\"ollnitz, two of Andrews' generalizations of Schur's theorem, and the Andrews-Olsson identities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-09-11T10:17:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11P81",
      "05A17"
    ],
    "keywords": [
      "schurs theorem",
      "iterative-bijective approach",
      "general theorems",
      "bressouds generalization",
      "important results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......4508C"
    }
  }
}