{
  "id": "0807.3522",
  "version": "v1",
  "published": "2008-07-22T17:14:31.000Z",
  "updated": "2008-07-22T17:14:31.000Z",
  "title": "Integral Representaion for L-functions for GSp(4)xGL(2)",
  "authors": [
    "Ameya Pitale",
    "Ralf Schmidt"
  ],
  "comment": "45 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let pi be a cuspidal, automorphic representation of GSp(4) attached to a Siegel modular form of degree 2. We refine the method of Furusawa to obtain an integral representation for the degree-8 L-function L(s,pi x tau), where tau runs through certain cuspidal, automorphic representation of GL(2). Our calculations include the case of square-free level for the p-adic components of tau, and a wide class of archimedean types including Maass forms. As an application we obtain a special value result for L(s,pi x tau).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-07-22T17:14:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F70",
      "11F46",
      "11F67"
    ],
    "keywords": [
      "integral representaion",
      "l-function",
      "automorphic representation",
      "special value result",
      "siegel modular form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0807.3522P"
    }
  }
}