{
  "abstract": "In this paper, we study a comparison between $\\infty$-adic and finite multiple zeta values in positive characteristic. We construct a surjective comparison map from the algebra of $\\infty$-adic multiple zeta values to a quotient of the algebra of finite multiple zeta values. This map factors through the quotient by $ζ_A(q-1)$, thereby establishing the well-definedness of a Kaneko-Zagier-type conjectural map. We further show that the comparison map is compatible with special values of Carlitz multiple polylogarithms, as well as with the corresponding $\\star$-inverse values. As an application, we prove the upper bound predicted by Shi's dimension conjecture for finite multiple zeta values.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37450",
  "author_total": 1,
  "authors": [
    {
      "name": "Hung-Chun Tsui"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/afgn506b4pe0n.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37450",
  "fulltext_url": null,
  "id": "afgn506b4pe0n",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37450",
  "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": "W7214917672",
  "pdf_url": "https://arxiv.org/pdf/2609.37450",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/afgn506b4pe0n.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.37450",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37450"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture",
  "title_text": "Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/afgn506b4pe0n",
  "venue": "arXiv",
  "versions": []
}