{
  "id": "1509.06883",
  "version": "v1",
  "published": "2015-09-23T08:37:13.000Z",
  "updated": "2015-09-23T08:37:13.000Z",
  "title": "On The Determination Of Number Fields By Artin L-Functions",
  "authors": [
    "Juergen Klueners",
    "Florin Nicolae"
  ],
  "comment": "4 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that a Galois number field is determined by any Artin L-function corresponding to a faithful character of the Galois group. The result is best possible in the sense that it is easy to produce counter examples whenever the character is not faithful.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-23T08:37:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R42"
    ],
    "keywords": [
      "determination",
      "galois number field",
      "produce counter examples",
      "galois group",
      "faithful character"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906883K"
    }
  }
}