{
  "id": "1801.02212",
  "version": "v1",
  "published": "2018-01-07T16:51:03.000Z",
  "updated": "2018-01-07T16:51:03.000Z",
  "title": "The fifth moment of Hecke L-functions in the weight aspect",
  "authors": [
    "Rizwanur Khan"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove an upper bound for the fifth moment of Hecke L-functions associated to holomorphic Hecke cusp forms of full level and weight k in a dyadic interval K < k < 2K, as K tends to infinity. The bound is sharp on Selberg's eigenvalue conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-07T16:51:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke l-functions",
      "fifth moment",
      "weight aspect",
      "holomorphic hecke cusp forms",
      "selbergs eigenvalue conjecture"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}