Abstract
In this paper we give a new bound for the Riemann zeta-function in the neighborhood of the straight line σ=1 and indicate its application to the problem of divisors and the mean value of the Riemann zeta-function.
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Translated from Matematicheskie Zametki, Vol. 12, No. 5, pp. 539–548, November, 1972.
The author is grateful to A. F. Lavrik for formulating the problem and for indicating the work of Richert.
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Edgorov, Z. Application of bounds for trigonometric sums to the problem of divisors and the mean value of the Riemann zeta-function. Mathematical Notes of the Academy of Sciences of the USSR 12, 761–766 (1972). https://doi.org/10.1007/BF01099060
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DOI: https://doi.org/10.1007/BF01099060