{
  "id": "1502.04332",
  "version": "v1",
  "published": "2015-02-15T16:50:41.000Z",
  "updated": "2015-02-15T16:50:41.000Z",
  "title": "The amplification method in the context of $GL(n)$ automorphic forms",
  "authors": [
    "Ricotta Guillaume"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In \\cite{SiVe2} and \\cite{BlMa1}, the authors proved the existence of a so-called higher rank amplifier and in \\cite{HoRiRo2}, the authors described an explicit version of a $GL(3)$ amplifier. This article provides, for $n\\geq 4$, a totally explicit $GL(n)$ amplifier and gives all the results required to use it effectively.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-15T16:50:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F99",
      "20C08",
      "15A21"
    ],
    "keywords": [
      "automorphic forms",
      "amplification method",
      "higher rank amplifier",
      "explicit version",
      "totally explicit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}