{
  "id": "1504.01976",
  "version": "v1",
  "published": "2015-04-08T14:10:58.000Z",
  "updated": "2015-04-08T14:10:58.000Z",
  "title": "On the (K.2) supercongruence of Van Hamme",
  "authors": [
    "Robert Osburn",
    "Wadim Zudilin"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We prove the last remaining case of the original 13 Ramanujan-type supercongruence conjectures due to Van Hamme from 1997. The proof utilizes classical congruences and a WZ pair due to Guillera. Additionally, we mention some future directions concerning this type of supercongruence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-08T14:10:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B65",
      "33C20",
      "33F10"
    ],
    "keywords": [
      "van hamme",
      "proof utilizes classical congruences",
      "ramanujan-type supercongruence conjectures",
      "wz pair",
      "remaining case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150401976O"
    }
  }
}