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Abstract — v1

We establish the quasi-Riemann hypothesis by proving that every Dirichlet LL-function, including Riemann's zeta function, has no zeros in the half-plane Re⁡s>11/12\operatorname{Re}s>11/12. More generally, we prove the same zero-free half-plane for every finite-order Hecke LL-function over K=Q(−3)K=\mathbb Q(\sqrt{-3}). In particular, this rules out the existence of Landau–Siegel zeros.

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