{
  "id": "2008.09235",
  "version": "v1",
  "published": "2020-08-21T00:02:40.000Z",
  "updated": "2020-08-21T00:02:40.000Z",
  "title": "Certain L2-norms on automorphic representations of SL(2)",
  "authors": [
    "Hongyu He"
  ],
  "comment": "21 pages",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let $\\Gamma$ be a non-uniform lattice in $SL(2, \\mathbb R)$. In this paper, we study various $L^2$-norms of automorphic representations of $SL(2, \\mathbb R)$. We will bound these norms with intrinsic norms defined on the representation. Comparison of these norms will help us understand the growth of $L$-functions in a systematic way.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-21T00:02:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "automorphic representations",
      "non-uniform lattice",
      "intrinsic norms",
      "systematic way",
      "comparison"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}