{
  "id": "math/0606782",
  "version": "v2",
  "published": "2006-06-30T06:26:16.000Z",
  "updated": "2006-11-27T07:02:56.000Z",
  "title": "On A Limiting Relation Between Ramanujan's Entire Function $A_{q}(z)$ And $θ$-Function",
  "authors": [
    "Ruiming Zhang"
  ],
  "comment": "15 pages",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "We will use a discrete analogue of the classical Laplace method to show that the main term of the asymptotic expansions of certain entire functions, including Ramanujan's entire function $A_{q}(z)$, can be expressed in terms of $\\theta$-functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-11-27T07:02:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D45",
      "33E05"
    ],
    "keywords": [
      "ramanujans entire function",
      "limiting relation",
      "discrete analogue",
      "classical laplace method",
      "main term"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6782Z"
    }
  }
}