A Divisibility-Generated Dynamical Model for Resonances at the Zeros of the Riemann Zeta Function

Osman, Mohamed

A Divisibility-Generated Dynamical Model for Resonances at the Zeros of the Riemann Zeta Function

Construction, exact algebra, and a careful account of what the numerics do and do not certify

Mohamed Osman · ORCID 0009-0004-5912-999X · independent researcher · 2026-07-28

Download the PDF · source on GitHub · concept DOI

Abstract. A dynamical model D_X(t) = A(t) - P_X(t) built from divisibility by Mobius inversion, whose peaks match the ordinates of the Riemann zeta zeros. The paper shows the match is structurally forced - D_X is a truncated xi'/xi, so its peaks are its poles - and that two features which looked like independent structure resolve into truncation error and the Rayleigh resolution criterion.

Every number printed in this paper is regenerated by a script in code/ of the repository. Licence: CC BY 4.0 (text), MIT (code).