4 papers · 1 filter
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…
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…
Chaos Analysis in the Hybrid Quintic Duffing-Riemann Zeta System via Decomposition
Zeraoulia Rafik, Pedro Caceres
This paper presents a comprehensive analysis of the driven cubic-quintic Duffing oscillator \[ \ddotϕ+\frac{1}{q}\dotϕ+ϕ^3+ϕ^5=A\cos(ωt), \] advancing both analytical and numerical…
Iterating sum of power divisor function and New equivalence to the Riemann hypothesis
Pedro Caceres, Zeraoulia Rafik
This paper investigates the dynamics of the iterated sum-of-divisors function and its behaviour modulo , motivated by classical questions on perfect and multiperfect nu…