{
  "id": "2409.00765",
  "version": "v1",
  "published": "2024-09-01T16:17:59.000Z",
  "updated": "2024-09-01T16:17:59.000Z",
  "title": "Murmurations of Maass forms",
  "authors": [
    "Andrew R. Booker",
    "Min Lee",
    "David Lowry-Duda",
    "Andrei Seymour-Howell",
    "Nina Zubrilina"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove the existence of murmurations in the family of Maass forms of weight 0 and level 1 with their Laplace eigenvalue parameter going to infinity (i.e., correlations between the parity and Hecke eigenvalues at primes growing in proportion to the analytic conductor).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-09-01T16:17:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F30"
    ],
    "keywords": [
      "maass forms",
      "murmurations",
      "laplace eigenvalue parameter",
      "hecke eigenvalues",
      "analytic conductor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}