{
  "id": "2011.10323",
  "version": "v1",
  "published": "2020-11-20T10:23:03.000Z",
  "updated": "2020-11-20T10:23:03.000Z",
  "title": "On the moments of the partition function of the C$β$E field",
  "authors": [
    "Theodoros Assiotis"
  ],
  "categories": [
    "math.PR",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "In this note we establish the large $N$ asymptotics of the positive integer moments of the partition function of the C$\\beta$E field, or equivalently the moments of the moments of the characteristic polynomial of the C$\\beta$E ensemble. This is done by making use of symmetric function theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-20T10:23:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partition function",
      "symmetric function theory",
      "positive integer moments",
      "characteristic polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}