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On simultaneous approximations of $\ln3$ and $\pi/\sqrt3$ by rational numbers
A. A. Polyanskiiabcd a Phystech School of Applied Mathematics and Informatics, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow region, Russia
b Caucasus Mathematical Center, Adyghe State University, Maykop, Russia
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow, Russia
d Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia
Abstract:
We prove an upper bound for the exponent of the simultaneous approximation of $\ln3$ and $\pi/\sqrt3$ by rational numbers.
Bibliography: 16 titles.
Keywords:
irrationality measure, simultaneous approximations.
Received: 25.08.2017 and 16.04.2018
Citation:
A. A. Polyanskii, “On simultaneous approximations of $\ln3$ and $\pi/\sqrt3$ by rational numbers”, Sb. Math., 210:4 (2019), 589–605
Linking options:
https://www.mathnet.ru/eng/sm9006https://doi.org/10.1070/SM9006 https://www.mathnet.ru/eng/sm/v210/i4/p128
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Abstract page: | 353 | Russian version PDF: | 47 | English version PDF: | 22 | References: | 55 | First page: | 29 |
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