{
  "id": "2410.16921",
  "version": "v1",
  "published": "2024-10-22T11:55:14.000Z",
  "updated": "2024-10-22T11:55:14.000Z",
  "title": "Trace formula and functional equation",
  "authors": [
    "Chung-Hang Kwan",
    "Wing Hong Leung"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we provide a \"beyond-endoscopic\" treatment of the functional equations for standard $L$-functions, building on ideas and techniques from Venkatesh's thesis and \"spectral reciprocity\".",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-10-22T11:55:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F66",
      "11F72",
      "11L05",
      "11F12"
    ],
    "keywords": [
      "functional equation",
      "trace formula",
      "venkateshs thesis",
      "spectral reciprocity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}