{
  "id": "0906.4508",
  "version": "v1",
  "published": "2009-06-24T16:01:18.000Z",
  "updated": "2009-06-24T16:01:18.000Z",
  "title": "$_3F_2$ hypergeometric series and periods of elliptic curves",
  "authors": [
    "Dermot McCarthy"
  ],
  "comment": "9 pages, to appear in the International Journal of Number Theory",
  "journal": "Int. J. Number Theory 6 (2010), no. 3, 461-470",
  "categories": [
    "math.NT"
  ],
  "abstract": "We express the real period of a family of elliptic curves in terms of classical hypergeometric series. This expression is analogous to a result of Ono which relates the trace of Frobenius of the same family of elliptic curves to a Gaussian hypergeometric series. This analogy provides further evidence of the interplay between classical and Gaussian hypergeometric series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-24T16:01:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11G05",
      "33C20"
    ],
    "keywords": [
      "elliptic curves",
      "gaussian hypergeometric series",
      "classical hypergeometric series",
      "real period",
      "expression"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4508M"
    }
  }
}