{
  "id": "2106.13613",
  "version": "v1",
  "published": "2021-06-25T13:06:23.000Z",
  "updated": "2021-06-25T13:06:23.000Z",
  "title": "On the divisibility of $q$-trinomial coefficients",
  "authors": [
    "Ji-Cai Liu"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We establish a congruence on sums of central $q$-binomial coefficients. From this $q$-congruence, we derive the divisibility of the $q$-trinomial coefficients introduced by Andrews and Baxter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-25T13:06:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "11A07",
      "11B65",
      "13A05"
    ],
    "keywords": [
      "trinomial coefficients",
      "divisibility",
      "congruence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}