{
  "id": "2107.08755",
  "version": "v1",
  "published": "2021-07-19T11:07:31.000Z",
  "updated": "2021-07-19T11:07:31.000Z",
  "title": "A relative trace formula approach to the Kuznetsov formula on $GSp_4$",
  "authors": [
    "Félicien Comtat"
  ],
  "comment": "45 pages, comments welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "Relative trace formulas play a central role in studying automorphic forms. In this paper, we use a relative trace formula approach to derive a Kuznetsov type formula for the group $GSp_4$. We focus on giving a final formula that is as explicit as possible, and we plan on returning to applications elsewhere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-19T11:07:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F72",
      "11F70",
      "22E55"
    ],
    "keywords": [
      "relative trace formula approach",
      "kuznetsov formula",
      "kuznetsov type formula",
      "relative trace formulas play",
      "central role"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 45,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}