{
  "id": "1801.04711",
  "version": "v1",
  "published": "2018-01-15T09:42:22.000Z",
  "updated": "2018-01-15T09:42:22.000Z",
  "title": "A note on the zeros of the zeta-function of Riemann",
  "authors": [
    "Aleksandar Ivić"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "It is shown explicitly how the sign of Hardy's function $Z(t)$ depends on the parity of the zero-counting function $N(T)$. Two existing definitions of this function are analyzed, and some related problems are discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-15T09:42:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06"
    ],
    "keywords": [
      "zeta-function",
      "hardys function",
      "zero-counting function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}