{
  "id": "1909.01111",
  "version": "v1",
  "published": "2019-09-03T12:19:00.000Z",
  "updated": "2019-09-03T12:19:00.000Z",
  "title": "Many zeros of many characters of GL(n,q)",
  "authors": [
    "Patrick X. Gallagher",
    "Michael J. Larsen",
    "Alexander R. Miller"
  ],
  "categories": [
    "math.RT",
    "math.CO",
    "math.GR"
  ],
  "abstract": "For $G={\\rm GL}(n,q)$, the proportion $P_{n,q}$ of pairs $(\\chi,g)$ in ${\\rm Irr}(G)\\times G$ with $\\chi(g)\\neq 0$ satisfies $P_{n,q}\\to 0$ as $n\\to\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-03T12:19:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "characters",
      "proportion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}