{
  "id": "1410.7036",
  "version": "v1",
  "published": "2014-10-26T14:47:32.000Z",
  "updated": "2014-10-26T14:47:32.000Z",
  "title": "Yet another representation for the sum of reciprocals of the nontrivial zeros of the Riemann zeta-function",
  "authors": [
    "Yuri Matiyasevich"
  ],
  "comment": "Submitted to \"Mathematical Notes\" (Moscow, Russia)",
  "categories": [
    "math.NT"
  ],
  "abstract": "The positivity of the sum from the title is the first condition in the well-known criterium for the validity of the Riemann Hypothesis suggested by X.-J. Li. In the paper this value is represented as an infinite sum with positive summands.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-26T14:47:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26"
    ],
    "keywords": [
      "riemann zeta-function",
      "nontrivial zeros",
      "reciprocals",
      "representation",
      "first condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.7036M"
    }
  }
}