{
  "id": "1405.6499",
  "version": "v1",
  "published": "2014-05-26T08:20:26.000Z",
  "updated": "2014-05-26T08:20:26.000Z",
  "title": "Multiple zeta-star values and multiple integrals",
  "authors": [
    "Shuji Yamamoto"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We prove a kind of integral expressions for finite multiple harmonic sums and multiple zeta-star values. Moreover, we introduce a class of multiple integrals, associated with some combinatorial data (called 2-labeled posets). This class includes both multiple zeta and zeta-star values of Euler-Zagier type, and also several other types of multiple zeta values. We show that these integrals can be used to obtain some relations among such zeta values quite transparently.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-26T08:20:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "40B05"
    ],
    "keywords": [
      "multiple zeta-star values",
      "multiple integrals",
      "finite multiple harmonic sums",
      "multiple zeta values",
      "combinatorial data"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.6499Y"
    }
  }
}