{
  "id": "1002.1616",
  "version": "v1",
  "published": "2010-02-08T14:50:43.000Z",
  "updated": "2010-02-08T14:50:43.000Z",
  "title": "Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function",
  "authors": [
    "David W. Farmer",
    "Haseo Ki"
  ],
  "comment": "16 pages, 4 figures",
  "categories": [
    "math.NT"
  ],
  "abstract": "We show that if the derivative of the Riemann zeta function has sufficiently many zeros close to the critical line, then the zeta function has many closely spaced zeros. This gives a condition on the zeros of the derivative of the zeta function which implies a lower bound of the class numbers of imaginary quadratic fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-08T14:50:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26",
      "11M20"
    ],
    "keywords": [
      "riemann zeta function",
      "landau-siegel zeros",
      "derivative",
      "imaginary quadratic fields",
      "zeros close"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.1616F"
    }
  }
}