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February 20, 2026Open Access

Density–0 Rigidity Program for the Riemann Hypothesis (v3.8r): Analytic Closure + Circle A Geometry (Optional GRH/Selberg Extensions)

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Authors

BLByoungwoo Lee

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Overview

This record demonstrates analytic closure for the Riemann Hypothesis, indicating a new proof framework in number theory.

Key Points

  • The main aim is to establish the analytic closure of the Riemann Hypothesis for the Riemann zeta function, focusing on density–0 rigidity.
  • Developed Density–0 Proof v3.8r for analytic closure with well-posedness and displacement convexity.
  • Established RH Circle A v3.0r for geometric proofs involving the R–Circle criterion.
  • Provided an optional Selberg-class extension under generalized conditions for supplementary entropy decay.
  • Confirmed that the analytic closure links rigidity mechanisms of the Riemann zeta function to entropy principles.
  • Resolved density–0 exceptional windows using a pointwise control method in the main proof chain.
  • Outlined an optional layer for the Selberg class that does not affect the core proof for RH(ζ).

Cite This Study

Byoungwoo Lee (2026) studied this question.

synapsesocial.com/papers/6997fa35ad1d9b11b3453463https://doi.org/10.5281/zenodo.18676831
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