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Matematicheskie Zametki, 1972, Volume 12, Issue 5, Pages 539–548 (Mi mzm9914)  

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.
Received: 03.04.1972
English version:
Mathematical Notes, 1972, Volume 12, Issue 5, Pages 761–766
DOI: https://doi.org/10.1007/BF01099060
Bibliographic databases:
Document Type: Article
UDC: 511
Language: Russian
Citation: Zh. Edgorov, “Application of bounds for trigonometric sums to the problem of divisors and the mean value of the Riemann zeta-function”, Mat. Zametki, 12:5 (1972), 539–548; Math. Notes, 12:5 (1972), 761–766
Citation in format AMSBIB
\Bibitem{Yod72}
\by Zh.~Edgorov
\paper Application of bounds for trigonometric sums to the problem of divisors and the mean value of the Riemann zeta-function
\jour Mat. Zametki
\yr 1972
\vol 12
\issue 5
\pages 539--548
\mathnet{http://mi.mathnet.ru/mzm9914}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=318079}
\zmath{https://zbmath.org/?q=an:0245.10030}
\transl
\jour Math. Notes
\yr 1972
\vol 12
\issue 5
\pages 761--766
\crossref{https://doi.org/10.1007/BF01099060}
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