{
  "id": "1410.5106",
  "version": "v1",
  "published": "2014-10-19T19:45:24.000Z",
  "updated": "2014-10-19T19:45:24.000Z",
  "title": "Applications of the Kuznetsov formula on GL(3): the level aspect",
  "authors": [
    "Valentin Blomer",
    "Jack Buttcane",
    "Péter Maga"
  ],
  "comment": "23 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We develop an explicit Kuznetsov formula on GL(3) for congruence subgroups. Applications include a Lindelof on average type bound for the sixth moment of GL(3) L-functions in the level aspect, an automorphic large sieve inequality, density results for exceptional eigenvalues and density results for Maass forms violating the Ramanujan conjecture at finite places.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-19T19:45:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "level aspect",
      "applications",
      "automorphic large sieve inequality",
      "density results",
      "explicit kuznetsov formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.5106B"
    }
  }
}