{
  "id": "2010.10642",
  "version": "v1",
  "published": "2020-10-20T22:05:09.000Z",
  "updated": "2020-10-20T22:05:09.000Z",
  "title": "Explicit Formulas from the Continuous Spectrum",
  "authors": [
    "Scott Osborne",
    "Garth Warner"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The purpose of this note is to announce the results of our investigation into the role played by the continuous spectrum in the development of the Selberg trace formula vis-\\`a-vis a pair $(G,\\Gamma)$. For the sake of simplicity, we shall restrict ourselves to a \"rank-2\" situation, a case in point being when $G = \\textbf{SL}(3,\\mathbb{R}), \\ \\Gamma = \\textbf{SL}(3,\\mathbb{Z})$. Full details (in all generality) will appear elsewhere.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-20T22:05:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F72"
    ],
    "keywords": [
      "continuous spectrum",
      "explicit formulas",
      "selberg trace formula",
      "development",
      "investigation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}