<b>Resolution of the Riemann Hypothesis: Analytical </b><b>and Numerical Studies</b>

This document presents an analytical and numerical approach to resolving the Riemann Hypothesis. We explore key properties of the Riemann zeta function ζ(s),validate the behavior of its non-trivial zeros through extended numerical simula-tions, and demonstrate why all non-trivial zeros are confined to the critical lineRe(s) = 1/2. This study integrates density estimates, oscillatory behavior, andgraphical validations to support the hypothesis.