{
  "id": "1611.10188",
  "version": "v1",
  "published": "2016-11-29T04:09:57.000Z",
  "updated": "2016-11-29T04:09:57.000Z",
  "title": "A $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$",
  "authors": [
    "Ji-Cai Liu"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "Using an identity due to Gessel and Stanton and some properties of the $p$-adic Gamma function, we establish a $p$-adic supercongruence for truncated hypergeometric series ${}_7F_6$. Some related supercongruences are also deduced from it.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-29T04:09:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "33C20"
    ],
    "keywords": [
      "truncated hypergeometric series",
      "adic supercongruence",
      "adic gamma function",
      "properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}