{
  "id": "1208.0125",
  "version": "v1",
  "published": "2012-08-01T07:36:34.000Z",
  "updated": "2012-08-01T07:36:34.000Z",
  "title": "On L-factors attached to generic representations of unramified U(2,1)",
  "authors": [
    "Michitaka Miyauchi"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let G be the unramified unitary group in three variables defined over a p-adic field of odd residual characteristic. In this paper, we establish a theory of newforms for the Rankin-Selberg integral for G introduced by Gelbart and Piatetski-Shapiro. We describe L and epsilon-factors defined through zeta integrals in terms of newforms. We show that zeta integrals of newforms for generic representations attain L-factors. As a corollary, we get an explicit formula for epsilon-factors of generic representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-01T07:36:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "22E35"
    ],
    "keywords": [
      "generic representations attain l-factors",
      "zeta integrals",
      "odd residual characteristic",
      "unramified unitary group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.0125M"
    }
  }
}