{
  "id": "1005.4256",
  "version": "v1",
  "published": "2010-05-24T06:30:05.000Z",
  "updated": "2010-05-24T06:30:05.000Z",
  "title": "Bijective Proofs of Gould's and Rothe's Identities",
  "authors": [
    "Victor J. W. Guo"
  ],
  "comment": "4 pages",
  "journal": "Discrete Math. 308 (2008), 1756--1759",
  "doi": "10.1016/j.disc.2007.04.020",
  "categories": [
    "math.CO"
  ],
  "abstract": "We first give a bijective proof of Gould's identity in the model of binary words. Then we deduce Rothe's identity from Gould's identity again by a bijection, which also leads to a double-sum extension of the $q$-Chu-Vandermonde formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-24T06:30:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19"
    ],
    "keywords": [
      "bijective proof",
      "goulds identity",
      "deduce rothes identity",
      "chu-vandermonde formula",
      "double-sum extension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.4256G"
    }
  }
}