{
  "id": "1910.02821",
  "version": "v1",
  "published": "2019-10-07T14:34:51.000Z",
  "updated": "2019-10-07T14:34:51.000Z",
  "title": "Ratios of Artin L-functions",
  "authors": [
    "Leonhard Hochfilzer",
    "Thomas Oliver"
  ],
  "comment": "26 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that certain quotients of Artin L-functions have infinitely many poles. Our result follows from a converse theorem for Maass forms of Laplace eigenvalue 1/4 in which the twisted L-functions are not assumed to be entire. We do not need the automorphy of Artin L-functions, only their meromorphic continuation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-07T14:34:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11F66",
      "11M41"
    ],
    "keywords": [
      "artin l-functions",
      "meromorphic continuation",
      "laplace eigenvalue",
      "maass forms",
      "converse theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}