Number Theory

    

Periodic Corrections Alignment: A Fundamental Conjecture

Authors: Blaize Rouyea, Corey Bourgeois, Trey Bourgeois

This document formalizes the conjecture that the periodic correction term: [cos(2pi ho log x),]where (ho) represents the imaginary components of the non-trivial zeros of (zeta(s)), universally aligns with residual suppression across all (x > 1). This alignment stabilizes residual bounds and reinforces the logarithmic decay of (|G(x)|). Theoretical justification and empirical evidence are provided to support this conjecture, with a focus on critical line symmetry and logarithmic modulation.

Comments: 2 Pages.

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[v1] 2024-12-05 02:55:50

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