{
  "id": "0802.3277",
  "version": "v1",
  "published": "2008-02-22T09:50:26.000Z",
  "updated": "2008-02-22T09:50:26.000Z",
  "title": "Automorphic properties of generating functions for generalized rank moments and Durfee symbols",
  "authors": [
    "Kathrin Bringmann",
    "Jeremy Lovejoy",
    "Robert Osburn"
  ],
  "comment": "18 pages",
  "journal": "IMRN, no. 2, (2010), 238-260",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "We define two-parameter generalizations of two combinatorial constructions of Andrews: the kth symmetrized rank moment and the k-marked Durfee symbol. We prove that three specializations of the associated generating functions are so-called quasimock theta functions, while a fourth specialization gives quasimodular forms. We then define a two-parameter generalization of Andrews' smallest parts function and note that this leads to quasimock theta functions as well. The automorphic properties are deduced using q-series identities relating the relevant generating functions to known mock theta functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-02-22T09:50:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A17",
      "11F03",
      "33D15"
    ],
    "keywords": [
      "generating functions",
      "generalized rank moments",
      "durfee symbol",
      "automorphic properties",
      "quasimock theta functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0802.3277B"
    }
  }
}