{
  "abstract": "We establish a generating function identity for finite and symmetric multiple zeta values using Dougall's bilateral ${}_2H_2$ summation formula. As an application, we prove a restricted sum formula in which the parity of each component of the index is prescribed. We also derive a generating function identity for finite multiple zeta values $ζ^{}_{\\mathcal{A}}(\\{1,2\\}^n)$ and symmetric multiple zeta values $ζ^{}_{\\mathcal{S}}(\\{1,2\\}^n)$, thereby proving Kaneko's conjecture for finite multiple zeta values and its symmetric analogue.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17957",
  "author_total": 2,
  "authors": [
    {
      "name": "Takumi Maesaka"
    },
    {
      "name": "Masataka Ono"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/41t4wn2jqj3xx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17957",
  "fulltext_url": null,
  "id": "41t4wn2jqj3xx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17957",
  "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": "W7221781305",
  "pdf_url": "https://arxiv.org/pdf/2610.17957",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/41t4wn2jqj3xx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17957",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17957"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A generating function identity for finite and symmetric multiple zeta values via Dougall's bilateral ${}_2H_2$ summation",
  "title_text": "A generating function identity for finite and symmetric multiple zeta values via Dougall's bilateral _2H_2 summation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/41t4wn2jqj3xx",
  "venue": "arXiv",
  "versions": []
}