{
  "id": "math/9812143",
  "version": "v1",
  "published": "1998-12-24T21:22:56.000Z",
  "updated": "1998-12-24T21:22:56.000Z",
  "title": "A New Representation of the Riemann Zeta Function $ζ(s)$",
  "authors": [
    "S. C. Woon"
  ],
  "comment": "12 pages, 2 figures, LaTeX2e, \\usepackage[dvips]",
  "categories": [
    "math.NT",
    "math-ph",
    "math.CA",
    "math.CO",
    "math.CV",
    "math.MP",
    "math.NA"
  ],
  "abstract": "A generalization of a well-known relation between the Riemann zeta function $\\zeta(s)$ and Bernoulli numbers $B_n$ is obtained. The formula is a new representation of the Riemann zeta function in terms of a nested series of Bernoulli numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-12-24T21:22:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "11B68"
    ],
    "keywords": [
      "riemann zeta function",
      "representation",
      "bernoulli numbers",
      "well-known relation"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....12143W"
    }
  }
}