SAEID ZERO HUNTER S2.2 A Three-Mode Numerical Architecture for the Computation and Cross-Checking of Riemann Zeta Zeros

Description SAEID ZERO HUNTER S2.2: A Three-Mode Numerical Architecture for the Computation and Cross-Checking of Riemann Zeta Zeros, with an Independently Developed Two-Dimensional Search Method. This paper presents SAEID ZERO HUNTER S2.2, a computational framework developed for the numerical investigation, localization, and cross-checking of nontrivial zeros of the Riemann zeta function. The architecture integrates three computational modes designed for complementary purposes: rapid single-zero computation, sequential zero scanning with numerical verification, and an independently developed two-dimensional search approach. By combining these modes, the framework aims to provide a structured environment for numerical exploration, residual analysis, and cross-validation of candidate zeros. The work emphasizes computational methodology, reproducibility, and the distinction between numerical evidence and mathematical proof. Numerical localization and verification of individual zeros do not, by themselves, establish the Riemann Hypothesis, which remains an open mathematical problem. SAEID ZERO HUNTER S2.2 is presented as an independently developed numerical research framework intended to support further testing, comparison, and development of computational methods for the Riemann zeta function. Author: Saeid Aghagholizadeh Ochghaz Affiliation: Retired Teacher and Independent Researcher Version: S2.2 Date: October 2026