{
  "id": "0708.3307",
  "version": "v1",
  "published": "2007-08-24T10:36:07.000Z",
  "updated": "2007-08-24T10:36:07.000Z",
  "title": "A p-adic analogue of a formula of Ramanujan",
  "authors": [
    "Dermot McCarthy",
    "Robert Osburn"
  ],
  "comment": "10 pages",
  "journal": "Archiv der Mathematik 91 (2008), 492-504",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "During his lifetime, Ramanujan provided many formulae relating binomial sums to special values of the Gamma function. Based on numerical computations, Van Hamme recently conjectured $p$-adic analogues to such formulae. Using a combination of ordinary and Gaussian hypergeometric series, we prove one of these conjectures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-08-24T10:36:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "11S80"
    ],
    "keywords": [
      "p-adic analogue",
      "formulae relating binomial sums",
      "gaussian hypergeometric series",
      "gamma function",
      "adic analogues"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0708.3307M"
    }
  }
}