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September 10, 2025Open Access

From Chaos to Density: A New Algorithmic Discovery for the Riemann Hypothesis via a Spectral Operator with Rigorous Lyapunov Bounds and Heuristic Improvements on the Maynard–Guth Estimate

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Heuristic improvements enhance zero-density estimates in nontrivial zeros of the Riemann zeta function, suggesting new routes for analysis.

This approach reveals a new algorithmic solution to zero-density problems using spectral and dynamical techniques.
Heuristic improvements lead to a new bound of N(σ, T) ≪ T1.7+o(1), surpassing the Maynard–Guth exponent.
The chaotic operator captures microscopic fluctuations through a logarithmic differential term derived from the Riemann–von Mangoldt formula.
Effective Lyapunov exponents suggest the contraction behavior of the chaotic operator suppresses zero density.

Zeraoulia Rafik (2025) studied this question.

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September 10, 2025Open Access

View Full Paper

Ask AI

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Authors

Heuristic improvements enhance zero-density estimates in nontrivial zeros of the Riemann zeta function, suggesting new routes for analysis.

This approach reveals a new algorithmic solution to zero-density problems using spectral and dynamical techniques.
Heuristic improvements lead to a new bound of N(σ, T) ≪ T1.7+o(1), surpassing the Maynard–Guth exponent.
The chaotic operator captures microscopic fluctuations through a logarithmic differential term derived from the Riemann–von Mangoldt formula.
Effective Lyapunov exponents suggest the contraction behavior of the chaotic operator suppresses zero density.

Zeraoulia Rafik (2025) studied this question.

View Full Paper

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