{
  "id": "1106.5103",
  "version": "v1",
  "published": "2011-06-25T05:27:14.000Z",
  "updated": "2011-06-25T05:27:14.000Z",
  "title": "On a conjecture of Kaneko and Ohno",
  "authors": [
    "Zhong-hua Li"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Let $X_0^{\\star}(k,n,s)$ denote the sum of all multiple zeta-star values of weight $k$, depth $n$ and height $s$. Kaneko and Ohno conjecture that for any positive integers $m,n,s$ with $m,n\\geqslant s$, the difference $(-1)^mX_0^{\\star}(m+n+1,n+1,s)-(-1)^nX_0^{\\star}(m+n+1,m+1,s)$ can be expressed as a polynomial of zeta values with rational coefficients. We give a proof of this conjecture in this paper.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-06-25T05:27:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "33C20"
    ],
    "keywords": [
      "multiple zeta-star values",
      "ohno conjecture",
      "zeta values",
      "rational coefficients",
      "positive integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.5103L"
    }
  }
}