{
  "id": "1503.04933",
  "version": "v1",
  "published": "2015-03-17T06:26:07.000Z",
  "updated": "2015-03-17T06:26:07.000Z",
  "title": "Relations between Multi-Poly-Bernoulli numbers and Poly-Bernoulli numbers of negative index",
  "authors": [
    "Hiroyuki Komaki"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "Poly-Bernoulli numbers $B_n^{(k)}\\in\\mathbb{Q}$\\,($n \\geq 0$,\\,$k \\in \\mathbb{Z}$) are defined by Kaneko in 1997. Multi-Poly-Bernoulli numbers\\,$B_n^{(k_1,k_2,\\ldots, k_r)}$, defined by using multiple polylogarithms, are generations of Kaneko's Poly-Bernoulli numbers\\,$B_n^{(k)}$. We researched relations between Multi-Poly-Bernoulli numbers and Poly-Bernoulli numbers of negative index in particular. In section 2, we introduce a identity for Multi-Poly-Bernoulli numbers of negative index which was proved by Kamano. In section 3, as main results, we introduce some relations between Multi-Poly-Bernoulli numbers and Poly-Bernoulli numbers of negative index in particular.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-17T06:26:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multi-poly-bernoulli numbers",
      "negative index",
      "main results",
      "multiple polylogarithms",
      "kanekos poly-bernoulli"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}