{
  "id": "1812.09101",
  "version": "v1",
  "published": "2018-12-21T13:16:08.000Z",
  "updated": "2018-12-21T13:16:08.000Z",
  "title": "Supercongruences arising from hypergeometric series identities",
  "authors": [
    "Ji-Cai Liu"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "By using some hypergeometric series identities, we prove two supercongruences on truncated hypergeometric series, one of which is related to a modular Calabi--Yau threefold, and the other is regarded as $p$-adic analogue of an identity due to Ramanujan.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-21T13:16:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "05A19",
      "33C20"
    ],
    "keywords": [
      "hypergeometric series identities",
      "supercongruences arising",
      "modular calabi-yau threefold",
      "adic analogue",
      "truncated hypergeometric series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}