{
  "id": "0706.2840",
  "version": "v3",
  "published": "2007-06-19T17:13:32.000Z",
  "updated": "2010-11-30T23:06:55.000Z",
  "title": "A Simple Counterexample to Havil's \"Reformulation\" of the Riemann Hypothesis",
  "authors": [
    "Jonathan Sondow"
  ],
  "comment": "Expanded from 2 to 7 pages, new title, added: exposition of the RH and the alternating zeta function, proof that the corrected form of Havil's conjecture is a true reformulation of the RH, 4 references, and Acknowledgments",
  "journal": "Elemente der Mathematik 67 (2012) 61-67",
  "categories": [
    "math.NT",
    "math.GM",
    "math.HO"
  ],
  "abstract": "This is an elementary note. It corrects a mistake in the reformulation of the Riemann Hypothesis in J. Havil's book Gamma: Exploring Euler's Constant.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-11-30T23:06:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M26",
      "11M41"
    ],
    "keywords": [
      "riemann hypothesis",
      "simple counterexample",
      "reformulation",
      "havils book gamma",
      "exploring eulers constant"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0706.2840S"
    }
  }
}