Cyclotomic Polynomials at Non-Primitive Roots via Möbius Inversion — E8 Intelligence Research

FINDING: Fourier evaluation of cyclotomic polynomials at non-primitive roots of unity yields explicit closed forms via Möbius inversion, linking discrete harmonic analysis to root-system structure. | MATH: For Φₙ(x) (minimal polynomial of primitive n-th roots), at a k-th root ζ (k|n, k Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com