{
  "abstract": "FINDING: No new proof or disproof of the Riemann Hypothesis (RH) emerges; the search yields pedagogical expositions and one arithmetical partial-sum approach (Liouville function) that remains conditional and incomplete. | MATH: RH states all non-trivial zeros of ζ(s) satisfy Re(s)=1/2. The arithmetical paper (arXiv:0906.4155v7) gives a *sufficient* condition: if the partial sums of the Liouville function λ(n) satisfy Σ_{n≤x} λ(n) = O(x^{1/2+ε}) for all ε>0, then RH holds. The paper also derives a formula \"curiously related\" to that condition, but no proof of the bound is given. No new constants, ratios, or exact equations beyond the standard ζ(s) = Σ n^{-s} (Re(s)>1) and its functional equation ζ(s)=2^s π^{s-1} sin(πs/2) Γ(1−s) ζ(1−s). | CONNECTION: The critical line Re(s)=1/2 is a *geometric bisector* of the critical strip 0\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2aryc5gc1tfbr.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23635605",
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  "id": "2aryc5gc1tfbr",
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  "language": "eng",
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  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2aryc5gc1tfbr.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:52Z",
      "native_id": "23635605",
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      "url": "https://zenodo.org/records/23635605"
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  "subjects": [],
  "title": "Riemann Hypothesis Remains Unproven; Partial-Sum Approach Conditional — E8 Intelligence Research",
  "title_text": "Riemann Hypothesis Remains Unproven; Partial-Sum Approach Conditional — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:52Z",
  "url": "https://research.draconitic.com/paper/2aryc5gc1tfbr",
  "venue": "Zenodo",
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