{
  "id": "2310.07681",
  "version": "v1",
  "published": "2023-10-11T17:30:24.000Z",
  "updated": "2023-10-11T17:30:24.000Z",
  "title": "Murmurations",
  "authors": [
    "Nina Zubrilina"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We establish a case of the surprising correlation phenomenon observed in the recent works of He, Lee, Oliver, Pozdnyakov, and Sutherland between Fourier coefficients of families of modular forms and their root numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-11T17:30:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F11"
    ],
    "keywords": [
      "murmurations",
      "surprising correlation phenomenon",
      "fourier coefficients",
      "modular forms",
      "root numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}