{
  "id": "1907.09391",
  "version": "v1",
  "published": "2019-07-17T00:21:45.000Z",
  "updated": "2019-07-17T00:21:45.000Z",
  "title": "Polynomial Reduction and Super Congruences",
  "authors": [
    "Qing-Hu Hou",
    "Yan-Ping Mu",
    "Doron Zeilberger"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CO",
    "cs.SC",
    "math.NT"
  ],
  "abstract": "Based on a reduction processing, we rewrite a hypergeometric term as the sum of the difference of a hypergeometric term and a reduced hypergeometric term (the reduced part, in short). We show that when the initial hypergeometric term has a certain kind of symmetry, the reduced part contains only odd or even powers. As applications, we derived two infinite families of super-congruences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-17T00:21:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "11A07",
      "68W30"
    ],
    "keywords": [
      "super congruences",
      "polynomial reduction",
      "initial hypergeometric term",
      "infinite families",
      "reduced part contains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}