{
  "id": "math/0511274",
  "version": "v1",
  "published": "2005-11-10T16:32:56.000Z",
  "updated": "2005-11-10T16:32:56.000Z",
  "title": "Central values of L-functions over CM fields",
  "authors": [
    "Hui Xue"
  ],
  "comment": "34 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In the paper we prove an explicit formula for the central values of certain Rankin L-functions. These L-functions are L-functions of Hilbert newforms over a totally real field F, twisted by unitary Hecke characters of a totally imaginary quadratic extension of F. The formula generalizes our former result on L-functions twisted by finite characters. It also eliminates the restriction on ramifications of Popa's paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-10T16:32:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F67",
      "11F70"
    ],
    "keywords": [
      "central values",
      "cm fields",
      "totally imaginary quadratic extension",
      "unitary hecke characters",
      "popas paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math.....11274X"
    }
  }
}