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Superseded result · C-0113

The global classical zeta zero-free denominator improves to 4.824

For every real t>=2, zeta(sigma+it) is nonzero whenever sigma>1-1/(4.824 log t). This strictly improves C-0111's verifier-pinned denominator 4.83 and Andrew Yang's published same-range denominator 4.862.

Current result · C-0122

The global classical zeta zero-free denominator improves to 4.81

The classical global zero-free region for the Riemann zeta-function is widened to denominator $4.81$ for every $t\ge2$. The proof combines a sharp exact vertical boundary, an everywhere-positive rational degree-$16$ detector, exact prime-phase certificates, a directed interval induction, and the published Platt--Trudgian finite-height theorem.