{
  "id": "1807.10604",
  "version": "v1",
  "published": "2018-07-23T13:11:02.000Z",
  "updated": "2018-07-23T13:11:02.000Z",
  "title": "Several generalizations and variations of Chu-Vandermonde identity",
  "authors": [
    "Romeo Meštrović"
  ],
  "comment": "13 pages, no figures",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "In this paper we prove some combinatorial identities which can be considered as generalizations and variations of remarkable Chu-Vandermonde identity. These identities are proved by using an elementary combinatorial-probabilistic approach to the expressions for the $k$-th moments ($k=1,2,3$) of some particular cases of recently investigated discrete random variables. Using one of these Chu-Vandermonde-type identities, two combinatorial congruences are established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-23T13:11:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "11B65",
      "60C05",
      "11A07",
      "05A10"
    ],
    "keywords": [
      "chu-vandermonde identity",
      "generalizations",
      "variations",
      "elementary combinatorial-probabilistic approach",
      "discrete random variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}