Riemann R(x) prime counting function approximation using complex Zeta zeroes

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.

Zeta Collapse Model (ZCM). System architecture and database are patent-pending and not included.

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).

Función Zeta de Riemann programado en c++

Spiral model unifying universal evolution and observer-based information structures.

Generation of an image of critical line of the zeta-function.

A proof of the Riemann Hypothesis via toroidal geometry. Zeros are caustic singularities forced to the throat by the Gram matrix cosh structure.

Repo with plots for Complex Analysis Course. Riemman Zeta function example.

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。

📉 Implement the Zeta Collapse Model to effectively isolate stable data subsets in noisy environments without relying on machine learning or statistics.

🔍 Certify and explore the first 1,000 nontrivial zeros of the Riemann zeta function with a reliable, reproducible dataset for research and analysis.