{
  "id": "1212.4545",
  "version": "v1",
  "published": "2012-12-19T00:39:18.000Z",
  "updated": "2012-12-19T00:39:18.000Z",
  "title": "Maass forms on GL(3) and GL(4)",
  "authors": [
    "David W. Farmer",
    "Sally Koutsoliotas",
    "Stefan Lemurell"
  ],
  "comment": "19 pages, 2 figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "We describe a practical method for finding an L-function without first finding the associated underlying object. The procedure involves using the Euler product and the approximate functional equation in a new way. No use is made of the functional equation of twists of the L-function. The method is used to find a large number of Maass forms on SL(3,Z) and to give the first examples of Maass forms of higher level on GL(3), and on GL(4) and Sp(4).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-19T00:39:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F37",
      "11M41",
      "11F66"
    ],
    "keywords": [
      "maass forms",
      "approximate functional equation",
      "l-function",
      "first examples",
      "large number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.4545F"
    }
  }
}