{
  "id": "2106.11743",
  "version": "v1",
  "published": "2021-06-22T13:26:02.000Z",
  "updated": "2021-06-22T13:26:02.000Z",
  "title": "On the moments of characteristic polynomials",
  "authors": [
    "Bhargavi Jonnadula",
    "Jon Keating",
    "Francesco Mezzadri"
  ],
  "comment": "26 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We examine the asymptotics of the moments of characteristic polynomials of $N\\times N$ matrices drawn from the Hermitian ensembles of Random Matrix Theory, in the limit as $N\\to\\infty$. We focus in particular on the Gaussian Unitary Ensemble, but discuss other Hermitian ensembles as well. We employ a novel approach to calculate asymptotic formulae for the moments, enabling us to uncover subtle structure not apparent in previous approaches.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-22T13:26:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "15B52",
      "11M50"
    ],
    "keywords": [
      "characteristic polynomials",
      "hermitian ensembles",
      "uncover subtle structure",
      "random matrix theory",
      "matrices drawn"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}