{
  "id": "1404.6345",
  "version": "v2",
  "published": "2014-04-25T08:11:40.000Z",
  "updated": "2016-06-27T18:31:30.000Z",
  "title": "A short proof of a Chebotarev density theorem for function fields",
  "authors": [
    "Michiel Kosters"
  ],
  "comment": "6 pages, rewritten most of the paper",
  "categories": [
    "math.NT",
    "math.AG"
  ],
  "abstract": "In this article we discuss a version of the Chebotarev density for function fields over perfect fields with procyclic absolute Galois groups. Our version of this density theorem differs from other versions in two aspects: we include ramified primes and we do not have an error term.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-25T08:11:40.000Z",
      "abstract": "In this article we discuss a version of the Chebotarev density for function fields over perfect fields with procyclic absolute Galois groups. Our version allows also for a formulation of a classical Chebotarev density theorem for function fields over finite fields which includes ramified primes.",
      "comment": "5 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-06-27T18:31:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R58",
      "11R45"
    ],
    "keywords": [
      "function fields",
      "short proof",
      "procyclic absolute galois groups",
      "classical chebotarev density theorem",
      "finite fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.6345K"
    }
  }
}