{
  "id": "1201.3932",
  "version": "v1",
  "published": "2012-01-18T21:26:31.000Z",
  "updated": "2012-01-18T21:26:31.000Z",
  "title": "Explicit zero density theorems for Dedekind zeta functions",
  "authors": [
    "Habiba Kadiri",
    "Nathan Ng"
  ],
  "comment": "24 pages",
  "journal": "J. of Number Theory Vol. 132, (2012) 748-775",
  "categories": [
    "math.NT"
  ],
  "abstract": "This article studies the zeros of Dedekind zeta functions. In particular, we establish a smooth explicit formula for these zeros and we derive an effective version of the Deuring-Heilbronn phenomenon. In addition, we obtain an explicit bound for the number of zeros in a box.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-18T21:26:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "11R42"
    ],
    "keywords": [
      "explicit zero density theorems",
      "dedekind zeta functions",
      "smooth explicit formula",
      "article studies",
      "deuring-heilbronn phenomenon"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}