{
  "id": "1810.10479",
  "version": "v1",
  "published": "2018-10-24T16:29:54.000Z",
  "updated": "2018-10-24T16:29:54.000Z",
  "title": "Weyl bound for $\\rm GL(2)$ in $t$-aspect via a trivial delta method",
  "authors": [
    "Keshav Aggarwal"
  ],
  "comment": "18 pages; Comments welcome",
  "categories": [
    "math.NT"
  ],
  "abstract": "We use a `trivial' delta method to prove the Weyl bound in $t$-aspect for the $\\rm L$-function of a holomorphic or a Hecke-Maass cusp form of arbitrary level and nebentypus. In particular, this extends the results of Meurman and Jutila for the $t$-aspect Weyl bound, and the recent result of Booker, Milinovich and Ng to Hecke cusp forms of arbitrary level and nebentypus.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-24T16:29:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F66",
      "11M41"
    ],
    "keywords": [
      "trivial delta method",
      "arbitrary level",
      "aspect weyl bound",
      "hecke cusp forms",
      "hecke-maass cusp form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}