{
  "id": "2001.03941",
  "version": "v1",
  "published": "2020-01-12T14:56:19.000Z",
  "updated": "2020-01-12T14:56:19.000Z",
  "title": "Proof of Sun's supercongruence involving Catalan numbers",
  "authors": [
    "Ji-Cai Liu"
  ],
  "comment": "9 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We confirm a conjectural supercongruence involving Catalan numbers, which is one of the 100 selected open conjectures on congruences of Sun. The proof makes use of hypergeometric series identities and symbolic summation method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-12T14:56:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A07",
      "11B65",
      "05A19",
      "33C20"
    ],
    "keywords": [
      "catalan numbers",
      "suns supercongruence",
      "hypergeometric series identities",
      "symbolic summation method",
      "selected open conjectures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}