{
  "id": "1610.07945",
  "version": "v1",
  "published": "2016-10-25T16:07:38.000Z",
  "updated": "2016-10-25T16:07:38.000Z",
  "title": "Real zeros of the Hurwitz zeta function",
  "authors": [
    "Toshiki Matsusaka"
  ],
  "comment": "8 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "It is well known that real zeros of the Riemann zeta function are negative even integers. As for the real zeros of the Hurwitz zeta function, T. Nakamura recently gave a non-vanishing condition in the intervals (0,1) and (-1,0). We generalize this result for all negative real numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-25T16:07:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M35",
      "11M20"
    ],
    "keywords": [
      "hurwitz zeta function",
      "real zeros",
      "riemann zeta function",
      "negative real numbers",
      "non-vanishing condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}