{
  "id": "2208.08716",
  "version": "v1",
  "published": "2022-08-18T08:58:19.000Z",
  "updated": "2022-08-18T08:58:19.000Z",
  "title": "A motivic interpretation of Whittaker periods for $\\mathrm{GL}_n$",
  "authors": [
    "Takashi Hara",
    "Kenichi Namikawa"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Admitting the existence of conjectural motives attached to cohomological irreducible cuspidal automorphic representations of $\\mathrm{GL}_n$, we write down Raghuram and Shahidi's Whittaker periods in terms of Yoshida's fundamental periods when the base field is a totally real number field or a CM field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-18T08:58:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "motivic interpretation",
      "cohomological irreducible cuspidal automorphic representations",
      "totally real number field",
      "shahidis whittaker periods",
      "yoshidas fundamental periods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}