{
  "abstract": "We propose a framework for multiple zeta values in $λ$-rings that unifies both classical multiple zeta values and multiple $q$-zeta values. As in the classical case, we show that the multiple zeta function defines an algebra homomorphism from the quasi-shuffle algebra to the $λ$-ring. We also prove a formula for multiple polylogarithms in $λ$-rings, similar to the iterated integral expression in the classical case. As an application, we explicitly describe the algebra of regular multiple $q$-zeta values, compute the corresponding Poincaré series, and exhibit a small spanning set.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.04424",
  "author_total": 1,
  "authors": [
    {
      "name": "Sergey Mozgovoy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/70970m2ym76sw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.04424",
  "fulltext_url": null,
  "id": "70970m2ym76sw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.04424",
  "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"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7211888311",
  "pdf_url": "https://arxiv.org/pdf/2609.04424",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/70970m2ym76sw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:18Z",
      "native_id": "2609.04424",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.04424"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Multiple zeta values in $λ$-rings",
  "title_text": "Multiple zeta values in λ-rings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:18Z",
  "url": "https://research.draconitic.com/paper/70970m2ym76sw",
  "venue": "arXiv",
  "versions": []
}