{
  "id": "1812.03134",
  "version": "v1",
  "published": "2018-12-07T17:48:14.000Z",
  "updated": "2018-12-07T17:48:14.000Z",
  "title": "Bounds for the number of cohomological automorphic representations of $GL_3/\\mathbb{Q}$ in the weight aspect",
  "authors": [
    "Simon Marshall"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a power saving over the trivial bound for the number of cohomological cuspidal automorphic representations of fixed level and growing weight on $GL_3/\\mathbb{Q}$, by adapting the methods of our earlier paper on $GL_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-07T17:48:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F75",
      "11F85"
    ],
    "keywords": [
      "cohomological automorphic representations",
      "weight aspect",
      "cohomological cuspidal automorphic representations",
      "trivial bound",
      "earlier paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}