{
  "id": "1903.04140",
  "version": "v1",
  "published": "2019-03-11T06:39:50.000Z",
  "updated": "2019-03-11T06:39:50.000Z",
  "title": "$\\mathbb{Q}$-linear relations of specific families of multiple zeta values and the linear part of Kawashima's relation",
  "authors": [
    "Minoru Hirose",
    "Hideki Murahara",
    "Tomokazu Onozuka"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we study specific families of multiple zeta values which closely relate to the linear part of Kawashima's relation. We obtain an explicit basis of these families, and investigate their interpolations to complex functions. As a corollary of our main results, we also see that the duality formula and the derivation relation are deduced from the linear part of Kawashima's relation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-11T06:39:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32"
    ],
    "keywords": [
      "multiple zeta values",
      "kawashimas relation",
      "linear part",
      "linear relations",
      "study specific families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}