{
  "abstract": "We study multiple zeta values in positive characteristic. We construct, using $\\infty$-adic multiple zeta values, a coaction of the $\\infty$-adic multiple zeta value algebra modulo $ζ_A(q-1)$ on the $\\infty$-adic multiple zeta value algebra itself, and prove that it agrees with Mishiba's coaction constructed via special values of Carlitz multiple polylogarithms. We also determine the coaction on the $\\star$-inverse values and show that the antipode on the $\\infty$-adic multiple zeta value algebra modulo $ζ_A(q-1)$ is given by the $\\star$-inverse operation. In particular, these results prove Mishiba's conjecture concerning the coaction and the antipode for $\\infty$-adic multiple zeta values.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30823",
  "author_total": 1,
  "authors": [
    {
      "name": "Hung-Chun Tsui"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2g9v9zvzwm6qq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30823",
  "fulltext_url": null,
  "id": "2g9v9zvzwm6qq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30823",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7214584142",
  "pdf_url": "https://arxiv.org/pdf/2609.30823",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2g9v9zvzwm6qq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30823",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30823"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Mishiba's Conjecture on the Coaction of $\\infty$-adic Multiple Zeta Values",
  "title_text": "Mishiba's Conjecture on the Coaction of ∞-adic Multiple Zeta Values",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/2g9v9zvzwm6qq",
  "venue": "arXiv",
  "versions": []
}