{
  "id": "1109.2224",
  "version": "v3",
  "published": "2011-09-10T14:00:14.000Z",
  "updated": "2012-05-15T09:31:44.000Z",
  "title": "Negative values of the Riemann zeta function on the critical line",
  "authors": [
    "Justas Kalpokas",
    "Maxim A. Korolev",
    "Jörn Steuding"
  ],
  "comment": "18 pages, improved Corollary 3",
  "doi": "10.1112/S0025579313000090",
  "categories": [
    "math.NT"
  ],
  "abstract": "We investigate the intersections of the curve $\\mathbb{R}\\ni t\\mapsto \\zeta({1\\over 2}+it)$ with the real axis. We show unconditionally that the zeta-function takes arbitrarily large positive and negative values on the critical line.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-05-15T09:31:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "riemann zeta function",
      "critical line",
      "negative values",
      "real axis"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.2224K"
    }
  }
}