{
  "id": "1204.4162",
  "version": "v2",
  "published": "2012-04-18T18:56:01.000Z",
  "updated": "2012-07-30T20:25:34.000Z",
  "title": "Evaluations for zeta(2),zeta(4),...,zeta(2k)based on the WZ method",
  "authors": [
    "Yijun Chen"
  ],
  "comment": "9 pages; some comments given by Vignat Christophe to me were added to this vesion, best thanks to Vignat Christophe; the proof of lemma 5 was improved; some misprints were corrected",
  "categories": [
    "math.CO",
    "math.CA",
    "math.HO"
  ],
  "abstract": "Based on the framework of the WZ theory, a new evaluation for $\\varsigma (2) = \\frac{\\pi ^2}{6}$ and $\\varsigma (4) = \\frac{\\pi ^4}{90}$ was given respectively, finally, a new recurrence formula for $\\varsigma (2k)$ was given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-07-30T20:25:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19"
    ],
    "keywords": [
      "wz method",
      "evaluation",
      "wz theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.4162C"
    }
  }
}