Euler Product, Cyclotomic Identities, and Divisor Sums: Prime Lattice Symmetries — E8 Intelligence Research

FINDING: Euler product formula for ζ(s) connects primes to analytic structure; cyclotomic polynomial identities and explicit divisor formulas reveal arithmetic lattice symmetries. MATH: - Euler product: ζ(s) = ∏_p (1 − p⁻ˢ)⁻¹, valid for Re(s) > 1. - Cyclotomic identity: if a | b, then Φ_b(x) = Φ_a(xb/a) / ∏_{d|a, d Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com