{
  "id": "1602.08203",
  "version": "v1",
  "published": "2016-02-26T05:44:01.000Z",
  "updated": "2016-02-26T05:44:01.000Z",
  "title": "New error term for the fourth moment of automorphic L functions",
  "authors": [
    "Olga Balkanova",
    "Dmitry Frolenkov"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We improve the error term in the asymptotic formula for the twisted fourth moment of automorphic L functions of prime level and weight two proved by Kowalski, Michel and Vanderkam. As a consequence, we obtain a new subconvexity bound in the level aspect and improve the lower bound on proportion of simultaneous non-vanishing.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-26T05:44:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "error term",
      "automorphic",
      "lower bound",
      "asymptotic formula",
      "level aspect"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}