{
  "id": "1007.3436",
  "version": "v2",
  "published": "2010-07-07T16:03:23.000Z",
  "updated": "2010-07-29T19:36:35.000Z",
  "title": "Zeta(n) via hyperbolic functions",
  "authors": [
    "Joseph T. D'Avanzo",
    "Nikolai A. Krylov"
  ],
  "comment": "10 pages, 1 figure, to be published in Involve, a Journal of Mathematics. A recent paper was added to the reference list",
  "doi": "10.1016/j.nuclphysb.2010.10.020",
  "categories": [
    "math.CA"
  ],
  "abstract": "We present here an approach to a computation of $\\zeta(2)$ by changing variables in the double integral using hyperbolic trig functions. We also apply this approach to present $\\zeta(n)$, when $n>2$, as a definite improper integral of single variable.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-29T19:36:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26B15",
      "11M06"
    ],
    "keywords": [
      "hyperbolic functions",
      "definite improper integral",
      "hyperbolic trig functions",
      "double integral"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1007.3436D"
    }
  }
}