{
  "id": "1508.00287",
  "version": "v1",
  "published": "2015-08-02T21:05:45.000Z",
  "updated": "2015-08-02T21:05:45.000Z",
  "title": "Bounding the least prime ideal in the Chebotarev Density Theorem",
  "authors": [
    "Asif Zaman"
  ],
  "comment": "21 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $L$ be a finite Galois extension of the number field $K$. We unconditionally bound the least prime ideal of $K$ occurring in the Chebotarev Density Theorem as a power of the discriminant of $L$ with an explicit exponent. We also establish a quantitative Deuring-Heilbronn phenomenon for the Dedekind zeta function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-02T21:05:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chebotarev density theorem",
      "prime ideal",
      "finite galois extension",
      "dedekind zeta function",
      "explicit exponent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150800287Z"
    }
  }
}