{
  "id": "math/0501434",
  "version": "v1",
  "published": "2005-01-25T08:30:21.000Z",
  "updated": "2005-01-25T08:30:21.000Z",
  "title": "On the multiplicity of zeros of the zeta-function",
  "authors": [
    "Aleksandar Ivić"
  ],
  "comment": "11 pages",
  "journal": "Acad\\'emie Serbe des Sciences et des Arts 1999, Bulletin CXVIII, Sciences math\\'ematiques, No. 24, pp. 119-132",
  "categories": [
    "math.NT"
  ],
  "abstract": "Several results are obtained concerning multiplicities of zeros of the Riemann zeta-function $\\zeta(s)$. They include upper bounds for multiplicities, showing that zeros with large multiplicities have to lie to the left of the line $\\sigma = 1$. A zero-density counting function involving multiplicities is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-25T08:30:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "multiplicity",
      "riemann zeta-function",
      "upper bounds",
      "large multiplicities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1434I"
    }
  }
}