{
  "id": "1705.02080",
  "version": "v1",
  "published": "2017-05-05T04:11:58.000Z",
  "updated": "2017-05-05T04:11:58.000Z",
  "title": "Restriction of Hecke eigenforms to horocycles",
  "authors": [
    "Ho Chung Siu",
    "Kannan Soundararajan"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a sharp upper bound on the $L^2$-norm of Hecke eigenforms restricted to a horocycle, as the weight tends to infinity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-05T04:11:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke eigenforms",
      "restriction",
      "sharp upper bound",
      "weight tends"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}