{
  "id": "1211.3149",
  "version": "v1",
  "published": "2012-11-13T22:06:56.000Z",
  "updated": "2012-11-13T22:06:56.000Z",
  "title": "A New Formula for The Values of Dirichlet Beta Function at Odd Positive Integers Based on The WZ Method",
  "authors": [
    "Yijun Chen"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CO",
    "math.CA"
  ],
  "abstract": "By using the related results in the WZ theory, a new (as far as I know) formula for the values of Dirichlet beta function $\\beta (s) = \\sum\\limits_{n = 1}^{+ \\infty} {\\frac{(-1)^{n - 1}}{(2n - 1)^s}} $ (where $Re(s) > 0$) at odd positive integers was given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-13T22:06:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19"
    ],
    "keywords": [
      "dirichlet beta function",
      "odd positive integers",
      "wz method",
      "wz theory",
      "related results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.3149C"
    }
  }
}