{
  "id": "math/9612229",
  "version": "v1",
  "published": "1996-12-17T00:00:00.000Z",
  "updated": "1996-12-17T00:00:00.000Z",
  "title": "Small generators of number fields",
  "authors": [
    "Wolfgang M. Ruppert"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "This is a revised version of ANT-0045. If K is a number field of degree n with discriminant D, if K=Q(a) then H(a)>c(n)|D|^(1/(2n-2)) where H(a) is the height of the minimal polynomial of a. We ask if one can always find a generator a of K such that d(n)|D|^(1/(2n-2))>H(a) holds. The answer is yes for real quadratic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1996-12-17T00:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "number field",
      "small generators",
      "real quadratic fields",
      "minimal polynomial",
      "discriminant"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1996math.....12229R"
    }
  }
}