{
  "id": "2107.03269",
  "version": "v1",
  "published": "2021-07-07T15:02:22.000Z",
  "updated": "2021-07-07T15:02:22.000Z",
  "title": "Order of Zeros of Dedekind Zeta Functions",
  "authors": [
    "Daniel Hu",
    "Ikuya Kaneko",
    "Spencer Martin",
    "Carl Schildkraut"
  ],
  "comment": "6 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Answering a question of Browkin, we unconditionally establish that the Dedekind zeta function of a number field $L$ has infinitely many nontrivial zeros of multiplicity greater than 1 if $L$ has a subfield $K$ for which $L/K$ is a nonabelian Galois extension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-07T15:02:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R42",
      "20C15"
    ],
    "keywords": [
      "dedekind zeta function",
      "nonabelian galois extension",
      "nontrivial zeros",
      "multiplicity greater",
      "number field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}