Riemann R(x) prime counting function approximation using complex Zeta zeroes
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Updated
Oct 2, 2024 - Python
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zeta-function
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Certified first 1,000 nontrivial zeros of the Riemann zeta function using a dual-evaluator (mpmath ζ + η‐series) contour method with strict Krawczyk isolation and automatic refinement.
python computational-mathematics interval-arithmetic interval-arithmetic-evaluator mpmath riemann-hypothesis analytic-number-theory zeta-function winding-number-algorithm argument-principle krawczyk zeta-zeros rigorous-verification
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Nov 20, 2025 - Python
Zeta Collapse Model (ZCM). System architecture and database are patent-pending and not included.
python-library math-library deterministic signal-processing-algorithms harmonic-analysis signal-processing-filters zeta-function ai-native entropy-reduction collapse-models zcm
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Nov 30, 2025 - Python
Unified constructive and non-constructive proof of the Riemann Hypothesis. Prime density, ζ-function symmetry, and A-type structure ensure full consistency. リーマン予想に対する構成的・非構成的な統合証明。素数密度・ゼータ関数対称性・A型構成により完全整合を実現。
math proof number-theory complex-analysis constructive riemann-hypothesis zeta-function critical-line prime-density non-constructive
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Updated
Jul 2, 2025 - Python
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