{
  "id": "1807.03987",
  "version": "v1",
  "published": "2018-07-11T08:16:40.000Z",
  "updated": "2018-07-11T08:16:40.000Z",
  "title": "On van Hamme's (A.2) and (H.2) supercongruences",
  "authors": [
    "Ji-Cai Liu"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In 1997, van Hamme conjectured 13 Ramanujan-type supercongruences labeled (A.2)--(M.2). Using some combinatorial identities discovered by Sigma, we extend (A.2) and (H.2) to supercongruences modulo $p^4$ for primes $p\\equiv 3\\pmod{4}$, which appear to be new.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-07-11T08:16:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "05A19",
      "33C20"
    ],
    "keywords": [
      "van hamme",
      "supercongruences modulo",
      "ramanujan-type supercongruences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}