{
  "id": "2307.16768",
  "version": "v1",
  "published": "2023-07-27T18:11:46.000Z",
  "updated": "2023-07-27T18:11:46.000Z",
  "title": "Congruences concerning quadrinomial coefficients",
  "authors": [
    "Mohammed Mechacha"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we establish congruences (mod $p^2$) involving the quadrinomial coefficients $\\dbinom{np-1}{p-1}_{3}$ and $\\dbinom{np-1}{\\frac{p-1}{2}}_{3}$. This is an analogue of congruences involving the trinomial coefficients $\\dbinom{np-1}{p-1}_{2}$ and $\\dbinom{np-1}{\\frac{p-1}{2}}_{2}$ due to Elkhiri and Mihoubi.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-27T18:11:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B65",
      "11A07",
      "05A10"
    ],
    "keywords": [
      "congruences concerning quadrinomial coefficients",
      "trinomial coefficients",
      "establish congruences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}