2025/01/01 by Chebbah, Mohammed Djamal
Mathematics · #Analytic Number Theory Research #History and Theory of Mathematics #Probability and Statistical Research
paper · doi:10.17605/osf.io/bd7ys
Abstract This work initiates a proof of the Riemann hypothesis through a novel graphical approach based on the analytical properties of the auxiliary function χ(s). By combining symmetry constraints from the functional equation with domain exclusion principles and graphical analysis, we identify and systematically eliminate regions of the critical strip where zeros cannot occur. The application of the argument principle to the remaining domain suggests that all non-trivial zeros must lie on the critical line ℜ (s) = 1/2 This approach opens new perspectives for enriching the understanding of the Riemann Hypothesis. VERSION 2 – 2025-11-10 MAIN IMPROVEMENT: **New section: Digital Certification of Results** - Addition of a complete digital validation methodology - Description of the tools and algorithms used - Presentation of the computational verification results MINOR CORRECTIONS: - Editorial optimisations