Proof of the Riemann Hypothesis via a Local Operator and OS Analytics
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We construct a compact integral operator Kz on L2(0,∞), we prove det(1 − Kz) = ξ(s)/ξ(1 − s), and then via cluster expansion, Borel convergence and OS–reflection–positivity we recover a self-adjoint “Hilbert–Pólya” operator, whose eigenvalues correspond to the zeros of the Riemann zeta function, which implies ℜs = ½ .