Geodesic
Application of bounds for trigonometric sums to the problem of divisors and the mean value of the Riemann zeta-function
Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 539-548.

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In this paper we give a new bound for the Riemann zeta-function in the neighborhood of the straight line $\sigma=1$ and indicate its application to the problem of divisors and the mean value of the Riemann zeta-function. 
@article{MZM_1972_12_5_a5,
     author = {Zh. Edgorov},
     title = {Application of bounds for trigonometric sums to the problem of divisors and the mean value of the {Riemann} zeta-function},
     journal = {Matemati\v{c}eskie zametki},
     pages = {539--548},
     publisher = {mathdoc},
     volume = {12},
     number = {5},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a5/}
}
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Zh. Edgorov. Application of bounds for trigonometric sums to the problem of divisors and the mean value of the Riemann zeta-function. Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 539-548. http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a5/