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Sbornik: Mathematics, 2019, Volume 210, Issue 4, Pages 589–605
DOI: https://doi.org/10.1070/SM9006
(Mi sm9006)
 

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
References:
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.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00743-а
This work was supported by the Russian Foundation for Basic Research (grant no. 09-01-00743-a).
Received: 25.08.2017 and 16.04.2018
Bibliographic databases:
Document Type: Article
UDC: 511.36
MSC: 11J82
Language: English
Original paper language: Russian
Citation: A. A. Polyanskii, “On simultaneous approximations of $\ln3$ and $\pi/\sqrt3$ by rational numbers”, Sb. Math., 210:4 (2019), 589–605
Citation in format AMSBIB
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\by A.~A.~Polyanskii
\paper On simultaneous approximations of $\ln3$ and $\pi/\sqrt3$ by rational numbers
\jour Sb. Math.
\yr 2019
\vol 210
\issue 4
\pages 589--605
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Linking options:
  • https://www.mathnet.ru/eng/sm9006
  • https://doi.org/10.1070/SM9006
  • https://www.mathnet.ru/eng/sm/v210/i4/p128
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
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    Abstract page:353
    Russian version PDF:47
    English version PDF:22
    References:55
    First page:29
     
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