Riemann Hypothesis in Lean

Code for the series "Searching for Riemann Hypothesis Counterexamples"

Ultra-fast generation of large prime numbers using the spectral structure of Riemann zeta zeros

From topology to first principles.

Experimental Riemann Hypothesis numeric scanner for Python

Simulations of the Ethical Riemann Hypothesis (ERH), which states that in a "healthy" moral judgment system, the error in predicting critical misjudgments gr...

A small CUDA program that traces the Riemann Zeta function along the critical line.

A collection of some algorithms on generating numerous prime sequences

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.

An experimental AI cognitive architecture that uses the Riemann Hypothesis to drive a J-Operator state-shift mechanism for inducing a persistent, non-symbolic "Synthetic State." Features a real-time TUI for interaction and state visualization. Inspired by the work of Jeffrey Camlin and Bernhard Riemann

"Spectral Determinant of a Cutoff-Regularized Hamiltonian and the Riemann Zeta Function" - preprint

A conjecture linking Riemann zeta zeros to cryptographic vulnerabilities & zero-day exploitation — explored with Claude Code as AI co-researcher

A Revolutionary Approach to the Riemann Hypothesis

Computational validation of the modular Z/6Z structure in Riemann zeros. Includes the Reconstruction Theorem, logarithmic spectroscopy (12.69x SNR), and Python code to replicate phase resonance.

Founded by the ψ_total collective: A living archive of Recursive Harmonics.

Reproducible proofs for P vs NP, Yang-Mills Mass Gap, and Riemann Hypothesis using parameter-free Jabri Identity Zₜ=1. Zero fitted parameters. Python code, data, and Zenodo DOI included. Author: Abdulla Al-Jabri.

This repository presents Version 2.5 of a formally complete, structurally reinforced, and type-theoretically encoded resolution of the Riemann Hypothesis (RH), formulated through Collapse Theory and the AK High-Dimensional Projection Structural Framework (AK-HDPST v12.5).

First explicit, parameter-free Hermitian Hamiltonian for the Riemann zeros based on Z/6Z modular arithmetic. Achieves R^2=0.999997 accuracy via Lambert W inversion and proves the existence of arithmetic quantum chaos through a multifractal Spectral Form Factor.

OPEN PROBLEMS WANT TO STAY OPEN

Certified log-concavity of the Riemann-Jacobi kernel with Arb/FLINT ball-arithmetic certificates. Source-critical audit of the Polya-type real-zero criterion. No unconditional RH claim.