{
  "id": "2203.07701",
  "version": "v1",
  "published": "2022-03-15T07:36:32.000Z",
  "updated": "2022-03-15T07:36:32.000Z",
  "title": "$t$-adic symmetric multiple zeta values for indices in which $1$ and $3$ appear alternately",
  "authors": [
    "Minoru Hirose",
    "Hideki Murahara",
    "Shingo Saito"
  ],
  "comment": "23 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "We consider the symmetric multiple zeta values in $\\mathcal{S}_m$ without modulo $\\pi^2$ reduction for indices in which $1$ and $3$ appear alternately. We investigate those values that can be expressed as a polynomial of the Riemann zeta values, and give a conjecturally complete list of explicit formulas for such values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-15T07:36:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M32",
      "05A19"
    ],
    "keywords": [
      "adic symmetric multiple zeta values",
      "riemann zeta values",
      "conjecturally complete list",
      "explicit formulas",
      "polynomial"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}