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math.GM2024
Analyzing Dynamical Systems Inspired by Montgomery's Conjecture: Insights into Zeta Function Zeros and Chaos in Number Theory
Zeraoulia Rafik, Pedro Caceres
In this study, we analyze a novel dynamical system inspired by Montgomery's pair correlation conjecture, modeling the spacings between nontrivial zeros of the Riemann zeta function…
math.GM2024
If our chaotic operator is derived correctly, then the Riemann hypothesis holds true
Zeraoulia Rafik, Pedro Caceres
This work develops an operator-theoretic and dynamical framework inspired by the Riemann--von Mangoldt formula, chaotic dynamics, and random-matrix models for the Riemann zeta func…