{
  "id": "1511.09192",
  "version": "v1",
  "published": "2015-11-30T08:03:43.000Z",
  "updated": "2015-11-30T08:03:43.000Z",
  "title": "Counting Points on Dwork Hypersurfaces and $p$-adic Gamma Function",
  "authors": [
    "Rupam Barman",
    "Hasanur Rahman",
    "Neelam Saikia"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We express the number of points on the Dwork hypersurface $$X_{\\lambda}^d: x_1^d+x_2^d+\\cdots +x_d^d=d\\lambda x_1x_2\\cdots x_d$$ over a finite field of order $q \\not \\equiv 1 \\pmod{d}$ in terms of McCarthy's $p$-adic hypergeometric function for any odd prime $d$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-30T08:03:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adic gamma function",
      "dwork hypersurface",
      "counting points",
      "adic hypergeometric function",
      "odd prime"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151109192B"
    }
  }
}