{
  "abstract": "We expose Claude's proof that $N_0(T)\\ge 0.6725 N(T)$ where $N(T)$ is the number of zeros of zeta satisfying $0<\\mathop{\\mathrm{Re}}ρ\\le T$, and $N_0(T)$ the number of those zeros that are simple and on the critical line. Unconditionally it was only known that $N_0(T)\\ge 0.4166 N(T)$. This proof is simpler than the previous ones and takes a different approach.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24612",
  "author_total": 1,
  "authors": [
    {
      "name": "J. Arias de Reyna"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/efjba8ckbnttg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24612",
  "fulltext_url": null,
  "id": "efjba8ckbnttg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24612",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Analytic Number Theory Research"
    ]
  ],
  "openalex": "W7222998390",
  "pdf_url": "https://arxiv.org/pdf/2610.24612",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/efjba8ckbnttg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:57Z",
      "native_id": "2610.24612",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24612"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Human Exposition of Claude's 2/3 Theorem on the zeros of zeta",
  "title_text": "Human Exposition of Claude's 2/3 Theorem on the zeros of zeta",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/efjba8ckbnttg",
  "venue": "arXiv",
  "versions": []
}