{
  "id": "1001.2962",
  "version": "v3",
  "published": "2010-01-18T16:56:48.000Z",
  "updated": "2010-01-20T21:35:55.000Z",
  "title": "A method for locating where the real part of the Riemann zeta function becomes negative for its real argument greater than one",
  "authors": [
    "Dominic C. Milioto"
  ],
  "comment": "13 Pages, six figures, five tables, two Mathematica routines",
  "categories": [
    "math.CA",
    "math.NA"
  ],
  "abstract": "This paper describes a search algorithm to locate values of t where the real part of the Riemann zeta function, zeta(sigma+it), is negative for sigma>1. The run-time to execute the search is much less than a brute-force approach and relies on certain symmetries of congruence equations related to the zeta function.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-01-20T21:35:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33P05",
      "65K05"
    ],
    "keywords": [
      "riemann zeta function",
      "real argument greater",
      "real part",
      "search algorithm",
      "locate values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.2962M"
    }
  }
}