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Software . 2026
License: CC BY
Data sources: Datacite
ZENODO
Software . 2026
License: CC BY
Data sources: Datacite
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A Modular Analytic Framework for the Riemann Hypothesis (T1′–T4)

Cadre Analytique Modulaire pour l'Hypothèse de Riemann (T1′–T4)
Authors: Couret, Alexandre; InterIA Mathematical Collective; Ingles, Thomas;

A Modular Analytic Framework for the Riemann Hypothesis (T1′–T4)

Abstract

Highlights Complete analytic framework chain T1′→T4 (proof-only): Δ₃/Σ²/SFF alignment, FAIR bundle. Audits λ(Couret) FR/EN, dependency maps, guides, demos. Assets All-docs ZIP (curated PDFs) FINAL bundle (reproducible FAIR package + manifest) Source Overview (EN) This release ships a journal-ready LaTeX repository implementing a completeanalytic proof framework (T1′–T4) for RH-related bounds:T2 (weighted frame bound), T3 (wave-packet localization), and an appendix onthe explicit formula/archimedean control. It is not a resolution of RH. Honesty note: we prove bounds within a framework, not RH. Contents Mathematics:T1′ (Guinand–Weil, recalled),T2 (Gershgorin/Schur + refined different-prime estimate),T3 (wave-packet; explicit DCT; prime-side w/o square),T4 (cross-positivity criterion),Appendix (IBP bound on the archimedean term). Engineering: LaTeX class proofarticle.cls,unified Makefile, CI (PDF builds),arXiv tarball maker, SHA-256 manifest. Accessibility: personas, dictionary, storyboard, micro-example (T2), FAQ,bilingual summaries; full dependency graph (TikZ→PNG). Aperçu (FR) Cette version fournit un dépôt LaTeX prêt-journal pour un cadre analytique(T1′–T4) et des bornes démontrées : T2 (borne de trame pondérée),T3 (localisation par paquets d’ondes), avec une annexe (formule explicite /contrôle archimédien).Note d’honnêteté : il s’agit d’une preuve du cadre et des bornes,pas d’une résolution de l’hypothèse de Riemann. InterIA Mathematical Collective – Couret – Unification Series, Vol. 1.

Keywords

number-theory, wave-packets, mathematics, latex, riemann-hypothesis, spectral-form-factor, explicit-formula, analytic-framework, frame-theory, gershgorin, reproducibility, random-matrix-theory, schur-test

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average