Geodesic
An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 233-238.

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We give an extension of Yoichi Motohashi's theorem saying that if the Riemann zeta-function on the line $\operatorname{Re}s=1$ attains very small values, then Vinogradov's zero-free region can be improved. 
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Sergei N. Preobrazhenskiǐ. An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Number theory, algebra, and analysis, Tome 276 (2012), pp. 233-238. http://geodesic.mathdoc.fr/item/TM_2012_276_a18/

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