Geodesic
Zeros of the Riemann zeta-function
Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 419-429.

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A proof that the Riemann zeta-function $\zeta(\sigma+it)$ has no zeros in the region $$ \sigma\geqslant1-\frac1{R\ln t}\qquad (t\geqslant T), $$ where $R=9.65$ and $T=12$. 
@article{MZM_1970_8_4_a1,
     author = {S. B. Stechkin},
     title = {Zeros of the {Riemann} zeta-function},
     journal = {Matemati\v{c}eskie zametki},
     pages = {419--429},
     publisher = {mathdoc},
     volume = {8},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a1/}
}
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S. B. Stechkin. Zeros of the Riemann zeta-function. Matematičeskie zametki, Tome 8 (1970) no. 4, pp. 419-429. http://geodesic.mathdoc.fr/item/MZM_1970_8_4_a1/