{
  "id": "1208.6280",
  "version": "v4",
  "published": "2012-08-30T19:51:05.000Z",
  "updated": "2014-02-16T16:53:05.000Z",
  "title": "Automorphic period and the central value of Rankin--Selberg L-function",
  "authors": [
    "Wei Zhang"
  ],
  "comment": "v4: Final version, slightly different from the published version. v3: the local result for a split archimedean place; some mistakes/typos corrected; the main result remains",
  "journal": "J. Amer. Math. Soc. 27 (2014), 541-612",
  "doi": "10.1090/S0894-0347-2014-00784-0",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "We prove a refinement of the global Gan-Gross-Prasad conjecture proposed by Ichino-Ikeda and N. Harris for unitary groups under some local conditions. We need to assume some expected properties of L-packets and some part of the local Gan-Gross-Prasad conjecture.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2014-02-16T16:53:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "22E50"
    ],
    "keywords": [
      "central value",
      "rankin-selberg l-function",
      "automorphic period",
      "local gan-gross-prasad conjecture",
      "global gan-gross-prasad conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "J. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.6280Z"
    }
  }
}