{
  "id": "2401.04037",
  "version": "v1",
  "published": "2024-01-08T17:22:42.000Z",
  "updated": "2024-01-08T17:22:42.000Z",
  "title": "A GL(3) converse theorem via a \"beyond endoscopy'' approach",
  "authors": [
    "Valentin Blomer",
    "Wing Hong Leung"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give a new proof of the converse theorem for Maass forms on ${\\rm GL}(3)$ using a technique that is inspired by Langlands' philosophy of \"beyond endoscopy\", thereby implementing these ideas for the first time in a higher rank setting.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-08T17:22:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F55",
      "11F72",
      "11M41"
    ],
    "keywords": [
      "converse theorem",
      "maass forms",
      "first time",
      "philosophy",
      "higher rank setting"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}