{
  "id": "0710.3822",
  "version": "v1",
  "published": "2007-10-20T07:24:54.000Z",
  "updated": "2007-10-20T07:24:54.000Z",
  "title": "Explicit approximation of the sum of the reciprocal of the imaginary parts of the zeta zeros",
  "authors": [
    "Soheila Emamyari",
    "Mehdi Hassani"
  ],
  "comment": "3 pages",
  "categories": [
    "math.NT",
    "math.GM"
  ],
  "abstract": "In this note, we give some explicit upper and lower bounds for the summation $\\sum_{0<\\gamma\\leq T}\\frac{1}{\\gamma}$, where $\\gamma$ is the imaginary part of nontrivial zeros $\\rho=\\beta+i\\gamma$ of $\\zeta(s)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-20T07:24:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S40"
    ],
    "keywords": [
      "imaginary part",
      "explicit approximation",
      "zeta zeros",
      "reciprocal"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.3822E"
    }
  }
}