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Cheng2000

Y. Cheng, "An explicit zero-free region for the Riemann zeta-function," Rocky Mountain J. Math., 30:1 (2000) 135--148.  MR 2001k:11165

Abstract: This paper gives an explicit zero-free region for the Riemann zeta-function derived from the Vinogradov-Korobov method. We prove that the Riemann zeta-function does not vanish in the region σ ≥ .00105 log ^-2/3 |t| (log log |t|)^-1/3 and |t| ≥ 3.