{
  "id": "math/0205031",
  "version": "v1",
  "published": "2002-05-03T00:25:52.000Z",
  "updated": "2002-05-03T00:25:52.000Z",
  "title": "A limiting form of the q-Dixon_4φ_3 summation and related partition identities",
  "authors": [
    "Krishnaswami Alladi",
    "Alexander Berkovich"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CO",
    "math.NT",
    "math.QA"
  ],
  "abstract": "By considering a limiting form of the q-Dixon_4\\phi_3 summation, we prove a weighted partition theorem involving odd parts differing by >= 4. A two parameter refinement of this theorem is then deduced from a quartic reformulation of Goellnitz's (Big) theorem due to Alladi, and this leads to a two parameter extension of Jacobi's triple product identity for theta functions. Finally, refinements of certain modular identities of Alladi connected to the Goellnitz-Gordon series are shown to follow from a limiting form of the q-Dixon_4\\phi_3 summation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-05-03T00:25:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "05A19",
      "11P83",
      "11P81",
      "33D15",
      "33D20"
    ],
    "keywords": [
      "related partition identities",
      "limiting form",
      "jacobis triple product identity",
      "parameter refinement",
      "quartic reformulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5031A"
    }
  }
}