{
  "id": "1108.4980",
  "version": "v2",
  "published": "2011-08-25T01:14:31.000Z",
  "updated": "2011-08-26T12:12:49.000Z",
  "title": "Two-dimensional series evaluations via the elliptic functions of Ramanujan and Jacobi",
  "authors": [
    "Bruce C. Berndt",
    "George Lamb",
    "Mathew Rogers"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CA",
    "math.NT"
  ],
  "abstract": "We evaluate in closed form, for the first time, certain classes of double series, which are remindful of lattice sums. Elliptic functions, singular moduli, class invariants, and the Rogers--Ramanujan continued fraction play central roles in our evaluations",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-08-26T12:12:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-dimensional series evaluations",
      "elliptic functions",
      "continued fraction play central roles",
      "rogers-ramanujan continued fraction play central"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.4980B"
    }
  }
}