{
  "id": "1003.2060",
  "version": "v3",
  "published": "2010-03-10T09:50:23.000Z",
  "updated": "2011-02-03T22:49:06.000Z",
  "title": "Zeros of the Hurwitz zeta function in the interval (0,1)",
  "authors": [
    "Davide Schipani"
  ],
  "comment": "Some reformulation done. Accepted for publication in Journal of Combinatorics and Number Theory",
  "categories": [
    "math.NT"
  ],
  "abstract": "We first give a condition on the parameters $s,w$ under which the Hurwitz zeta function $\\zeta(s,w)$ has no zeros and is actually negative. As a corollary we derive that it is nonzero for $w\\geq 1$ and $s\\in(0,1)$ and, as a particular instance, the known result that the classical zeta function has no zeros in $(0,1)$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-02-03T22:49:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hurwitz zeta function",
      "classical zeta function",
      "parameters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.2060S"
    }
  }
}