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`Systematic Deviations from Random Matrix Theory in 2,001,052 Riemann Zeta Zeros`

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Zenodo2025-12-03 更新2026-05-26 收录
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Complete statistical analysis of 2,001,052 non-trivial zeros of the Riemann zeta function, revealing statistically significant deviations from Gaussian Unitary Ensemble predictions of Random Matrix Theory. Key findings: - Level repulsion β = 1.955 ± 0.077 confirms quantum chaotic behavior - Spacing variance 41.9% below GUE (p < 10⁻¹⁵) - Skewness 62.4% above GUE (p < 10⁻¹⁵) - Evidence for spectral structure beyond generic chaos This repository includes complete code for reproducibility, publication-quality figures, statistical results, and comprehensive documentation. ``` **Keywords**: ``` Riemann zeta function, Random Matrix Theory, GUE, quantum chaos, number theory, spectral statistics, Hilbert-Pólya conjecture ``` **License**: - Selecione **Creative Commons Attribution 4.0 International (CC BY 4.0)**

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Zenodo
创建时间:
2025-11-09
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