{
  "id": "0812.2826",
  "version": "v3",
  "published": "2008-12-15T14:58:05.000Z",
  "updated": "2009-02-25T13:59:26.000Z",
  "title": "A Unification of Two Refinements of Euler's Partition Theorem",
  "authors": [
    "William Y. C. Chen",
    "Henry Y. Gao",
    "Kathy Q. Ji",
    "Martin Y. X. Li"
  ],
  "comment": "14 pages, 3 figures, the last version, to appear in The Ramanujan Journal",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We obtain a unification of two refinements of Euler's partition theorem respectively due to Bessenrodt and Glaisher. A specialization of Bessenrodt's insertion algorithm for a generalization of the Andrews-Olsson partition identity is used in our combinatorial construction.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2009-02-25T13:59:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unification",
      "refinements",
      "andrews-olsson partition identity",
      "bessenrodts insertion algorithm",
      "eulers partition theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.2826C"
    }
  }
}