{
  "id": "math/0504411",
  "version": "v1",
  "published": "2005-04-20T13:13:23.000Z",
  "updated": "2005-04-20T13:13:23.000Z",
  "title": "Periods, subconvexity of L-functions and representation theory",
  "authors": [
    "Joseph Bernstein",
    "Andre Reznikov"
  ],
  "comment": "To appear in J. of Diff. Geometry, Vol. 69 issue 2 in honor of Prof. Raoul Bott; 12 p",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We describe a new method to estimate the trilinear period on automorphic representations of PGL(2,R). Such a period gives rise to a special value of the triple L-function. We prove a bound for the triple period which amounts to a subconvexity bound for the corresponding special value. Our method is based on the study of the analytic structure of the corresponding unique trilinear functional on unitary representations of PGL(2,R).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-20T13:13:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "22E45",
      "11F70",
      "11M26"
    ],
    "keywords": [
      "representation theory",
      "corresponding unique trilinear functional",
      "automorphic representations",
      "triple l-function",
      "trilinear period"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4411B"
    }
  }
}