{
  "id": "1409.0767",
  "version": "v1",
  "published": "2014-09-02T15:58:57.000Z",
  "updated": "2014-09-02T15:58:57.000Z",
  "title": "On $(χ,b)$-factors of Cuspidal Automorphic Representations of Unitary Groups I",
  "authors": [
    "Dihua Jiang",
    "Chenyan Wu"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We investigate the existence of a simple global Arthur parameter $(\\chi,b)$ occurring in the global Arthur parameter $\\psi$ associated to an irreducible cuspidal automorphic representation $\\sigma$ of a unitary group defined over a number field. This is part of the $(\\chi, b)$-theory outlined in [Jia14] and can be regarded as a refinement of the theory of theta correspondences and poles of certain L-functions, which was outlined in [Ral91]. Further studies will be considered in our future work.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-02T15:58:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F27",
      "11F67",
      "11F70"
    ],
    "keywords": [
      "unitary group",
      "simple global arthur parameter",
      "irreducible cuspidal automorphic representation",
      "number field",
      "theta correspondences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.0767J"
    }
  }
}