{
  "id": "1809.07605",
  "version": "v1",
  "published": "2018-09-20T13:20:19.000Z",
  "updated": "2018-09-20T13:20:19.000Z",
  "title": "Renormalization of integrals of Eisenstein series and analytic continuation of representations",
  "authors": [
    "Samuel C. Edwards"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We combine Zagier's theory of renormalizable automorphic functions on the hyperbolic plane with the analytic continuation of representations of $\\mathrm{SL}(2,\\mathbb{R})$ due to Bernstein and Reznikov to study triple products of Eisenstein series of arbitrary (in particular, non-arithmetic) non-compact finite-volume hyperbolic surfaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-20T13:20:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30"
    ],
    "keywords": [
      "analytic continuation",
      "eisenstein series",
      "representations",
      "renormalization",
      "non-compact finite-volume hyperbolic surfaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}