{
  "id": "math/0405162",
  "version": "v2",
  "published": "2004-05-10T03:17:15.000Z",
  "updated": "2004-06-11T14:29:29.000Z",
  "title": "Representation of the Gauss hypergeometric function by multiple polylogarithms and relations of multiple zeta values",
  "authors": [
    "Shu Oi"
  ],
  "categories": [
    "math.NT",
    "math.CA",
    "math.QA"
  ],
  "abstract": "We describe a solution of the Gauss hypergeometric equation, $F(\\alpha,\\beta,\\gamma;z)$ by power series in paramaters $\\alpha,\\beta,\\gamma$ whose coefficients are $\\Z$ linear combinations of multiple polylogarithms. And using the representation and connection reletions of solutions of the hypergeometric equation, we show some relations of multiple zeta values.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-06-11T14:29:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M06",
      "40B05",
      "33C05"
    ],
    "keywords": [
      "multiple zeta values",
      "gauss hypergeometric function",
      "multiple polylogarithms",
      "representation",
      "gauss hypergeometric equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5162O"
    }
  }
}