Application of bounds for trigonometric sums to the problem of divisors and the mean value of the Riemann zeta-function

Zh. Edgorov

Institute of Mathematics, Academy of Sciences of the Uzbek SSR

Abstract: 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.

UDC: 511

Received: 03.04.1972

 English version: Mathematical Notes, 1972, 12:5, 761–766

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