{
  "id": "0903.3105",
  "version": "v1",
  "published": "2009-03-18T08:39:16.000Z",
  "updated": "2009-03-18T08:39:16.000Z",
  "title": "On logarithmic derivatives of zeta functions in families of global fields",
  "authors": [
    "Philippe Lebacque",
    "Alexey Zykin"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a formula for the limit of logarithmic derivatives of zeta functions in families of global fields with an explicit error term. This can be regarded as a rather far reaching generalization of the explicit Brauer-Siegel theorem both for number fields and function fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-18T08:39:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11R42",
      "11M38"
    ],
    "keywords": [
      "global fields",
      "zeta functions",
      "logarithmic derivatives",
      "explicit error term",
      "explicit brauer-siegel theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.3105L"
    }
  }
}