{
  "id": "1902.09983",
  "version": "v1",
  "published": "2019-02-26T14:56:38.000Z",
  "updated": "2019-02-26T14:56:38.000Z",
  "title": "On a congruence involving $q$-Catalan numbers",
  "authors": [
    "Ji-Cai Liu"
  ],
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Based on a $q$-congruence of the author and Petrov, we set up a $q$-analogue of Sun--Tauraso's congruence for sums of Catalan numbers, which extends a $q$-congruence due to Tauraso.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-26T14:56:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B65",
      "11A07",
      "05A10"
    ],
    "keywords": [
      "catalan numbers",
      "sun-taurasos congruence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}