{
  "id": "1102.0367",
  "version": "v1",
  "published": "2011-02-02T06:18:54.000Z",
  "updated": "2011-02-02T06:18:54.000Z",
  "title": "On the zeros of the Epstein zeta function",
  "authors": [
    "Anirban Mukhopadhyay",
    "Krishnan Rajkumar",
    "Kotyada Srinivas"
  ],
  "comment": "13 pages, to appear in proceedings of CINTAA, 2006",
  "journal": "Proc. in honour of Prof. T. C. Vasudevan, RMS Lecture Note Series, No. 15 (2011), pp. 73-87",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this article, we count the number of consecutive zeros of the Epstein zeta-function, associated to a certain quadratic form, on the critical line with ordinates lying in $[0,T], T$ sufficiently large and which are separated apart by a given positive number $V$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-02-02T06:18:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "epstein zeta function",
      "epstein zeta-function",
      "quadratic form",
      "consecutive zeros",
      "positive number"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1102.0367M"
    }
  }
}