{
  "id": "2003.00469",
  "version": "v1",
  "published": "2020-03-01T12:03:34.000Z",
  "updated": "2020-03-01T12:03:34.000Z",
  "title": "On the local doubling $γ$-factor for classical groups over function fields",
  "authors": [
    "Hirotaka Kakuhama"
  ],
  "comment": "22 pages, no figures",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "In this paper, we give a precise definition of an analytic $\\gamma$-factor of an irreducible representation of a classical group over a local function field of odd characteristic so that it satisfies some notable properties which are enough to define it uniquely. We use the doubling method to define the $\\gamma$-factor, and the main theorem extends works of Lapid-Rallis, Gan, Yamana, and the author to a classical group over a local function field of odd characteristic.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-01T12:03:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F70"
    ],
    "keywords": [
      "classical group",
      "local function field",
      "local doubling",
      "main theorem extends works",
      "odd characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}