{
  "abstract": "We prove that the irrationality exponent of $ζ(3)$ satisfies $μ(ζ(3)) < 5.5138800$, improving the bound $5.513891$ obtained by Rhin and Viola in 2001, which has been the best known for twenty-five years. The proof is an application of their Theorem 5.1 at a new integral direction. That direction is not reached by enlarging the search range: its eight parameters are 52000 times theirs, shifted by at most 23. The mechanism is the one recently used by Bai for $π$. In particular the Rhin-Viola point, optimal in every region covered by enumeration, is not optimal.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.26980",
  "author_total": 1,
  "authors": [
    {
      "name": "David Niedbala Giraudin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bp6zye7j1v7dw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.26980",
  "fulltext_url": null,
  "id": "bp6zye7j1v7dw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.26980",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2609.26980",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bp6zye7j1v7dw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.26980",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.26980"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "A new upper bound for the irrationality exponent of zeta(3)",
  "title_text": "A new upper bound for the irrationality exponent of zeta(3)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/bp6zye7j1v7dw",
  "venue": "arXiv",
  "versions": []
}