{
  "id": "2003.10995",
  "version": "v1",
  "published": "2020-03-24T17:32:14.000Z",
  "updated": "2020-03-24T17:32:14.000Z",
  "title": "On the regularized $L^4$-norm of Eisenstein series in the level aspect",
  "authors": [
    "Jiakun Pan"
  ],
  "comment": "12 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove an asymptotic formula expressing the regularized fourth moment of all newform Eisenstein series of primitive nebentypus as a mean value of $L$-functions. This is an analogue of the recent work of Djankovi\\'c and Khan in the spectral aspect.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-24T17:32:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F12",
      "11M99",
      "81Q50"
    ],
    "keywords": [
      "level aspect",
      "newform eisenstein series",
      "spectral aspect",
      "mean value",
      "regularized fourth moment"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}