{
  "id": "1007.3852",
  "version": "v2",
  "published": "2010-07-22T10:40:30.000Z",
  "updated": "2011-05-23T13:54:28.000Z",
  "title": "Supercongruences for a truncated hypergeometric series",
  "authors": [
    "Roberto Tauraso"
  ],
  "comment": "Revised version",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "The purpose of this note is to obtain some congruences modulo a power of a prime $p$ involving the truncated hypergeometric series $$\\sum_{k=1}^{p-1} {(x)_k(1-x)_k\\over (1)_k^2}\\cdot{1\\over k^a}$$ for $a=1$ and $a=2$. In the last section, the special case $x=1/2$ is considered.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-05-23T13:54:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "11B65"
    ],
    "keywords": [
      "truncated hypergeometric series",
      "supercongruences",
      "congruences modulo",
      "special case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.3852T"
    }
  }
}