{
  "id": "1205.0037",
  "version": "v1",
  "published": "2012-04-30T21:40:15.000Z",
  "updated": "2012-04-30T21:40:15.000Z",
  "title": "On Mordell-Tornheim sums and multiple zeta values",
  "authors": [
    "David M. Bradley",
    "Xia Zhou"
  ],
  "comment": "8 pages AMSLaTeX",
  "journal": "Ann. Sci. Math. Qu\\'ebec, Vol. 34, No. 1, 2010, pp. 15--23. [MR 2744193] (2011k:11118)",
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove that any Mordell-Tornheim sum with positive integer arguments can be expressed as a rational linear combination of multiple zeta values of the same weight and depth. By a result of Tsumura, it follows that any Mordell-Tornheim sum with weight and depth of opposite parity can be expressed as a rational linear combination of products of multiple zeta values of lower depth.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-30T21:40:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M41",
      "11M06"
    ],
    "keywords": [
      "multiple zeta values",
      "mordell-tornheim sum",
      "rational linear combination",
      "opposite parity",
      "positive integer arguments"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.0037B"
    }
  }
}