{
  "id": "0905.4033",
  "version": "v1",
  "published": "2009-05-25T15:03:02.000Z",
  "updated": "2009-05-25T15:03:02.000Z",
  "title": "Theta Functions, Elliptic Hypergeometric Series, and Kawanaka's Macdonald Polynomial Conjecture",
  "authors": [
    "Robin Langer",
    "Michael J. Schlosser",
    "S. Ole Warnaar"
  ],
  "journal": "SIGMA 5 (2009), 055, 20 pages",
  "doi": "10.3842/SIGMA.2009.055",
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "abstract": "We give a new theta-function identity, a special case of which is utilised to prove Kawanaka's Macdonald polynomial conjecture. The theta-function identity further yields a transformation formula for multivariable elliptic hypergeometric series which appears to be new even in the one-variable, basic case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-25T15:03:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kawanakas macdonald polynomial conjecture",
      "theta functions",
      "theta-function identity",
      "multivariable elliptic hypergeometric series",
      "transformation formula"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2009,
      "month": "May",
      "volume": 5,
      "pages": "055"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009SIGMA...5..055L"
    }
  }
}