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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 276, Pages 233–238
(Mi tm3361)
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This article is cited in 1 scientific paper (total in 1 paper)
An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function
Sergei N. Preobrazhenskiĭ Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
Abstract:
We give an extension of Yoichi Motohashi's theorem saying that if the Riemann zeta-function on the line $\operatorname{Re}s=1$ attains very small values, then Vinogradov's zero-free region can be improved.
Received in July 2011
Citation:
Sergei N. Preobrazhenskiǐ, “An extension of Motohashi's observation on the zero-free region of the Riemann zeta-function”, Number theory, algebra, and analysis, Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 276, MAIK Nauka/Interperiodica, Moscow, 2012, 233–238; Proc. Steklov Inst. Math., 276 (2012), 228–233
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https://www.mathnet.ru/eng/tm3361 https://www.mathnet.ru/eng/tm/v276/p233
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Abstract page: | 259 | Full-text PDF : | 79 | References: | 84 |
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