{
  "id": "math/0312097",
  "version": "v1",
  "published": "2003-12-04T09:47:30.000Z",
  "updated": "2003-12-04T09:47:30.000Z",
  "title": "On small values of the Riemann zeta-function on the critical line and gaps between zeros",
  "authors": [
    "Aleksandar Ivić"
  ],
  "comment": "13 pages",
  "journal": "Lietuvos Matem. Rinkinys 42(2002), 31-45",
  "categories": [
    "math.NT"
  ],
  "abstract": "Small values of $|\\zeta(1/2+it)|$ are investigated, using the value distribution results of A. Selberg. This gives an asymptotic formula for $\\mu(\\{0 < t \\le T : |\\zeta(1/2+it)| \\le c\\})$. Some related problems involving values of $|\\zeta(1/2+it)|$ and gaps between the consecutive ordinates of zeros of $\\zeta(s)$ are also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-04T09:47:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "small values",
      "riemann zeta-function",
      "critical line",
      "value distribution results",
      "asymptotic formula"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12097I"
    }
  }
}