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Izvestiya: Mathematics, 2018, Volume 82, Issue 3, Pages 549–577
DOI: https://doi.org/10.1070/IM8518 (Mi im8518) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Approximating $\ln 2$ by numbers in the field $\mathbb{Q}(\sqrt{2}\,)$

M. Yu. Luchin, V. Kh. Salikhov

Bryansk State Technical University
English version PDF (397 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/IM8518
Abstract: Using a new integral construction combining the idea of symmetry suggested by the second author in 2007 and the integral introduced by Marcovecchio in 2009, we obtain a new bound for the approximation of $\ln{2}$ by numbers in the field $\mathbb{Q}(\sqrt{2}\,)$.
Keywords: irrationality measure, linear form, complex integral.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00171
The research was partially supported by the Russian Foundation for Basic Research (project no. 12-01-00171).
Received: 04.02.2016
Revised: 24.08.2017
Bibliographic databases:
Document Type: Article
UDC: 511.36
MSC: 11J82
Language: English
Original paper language: Russian
Citation: M. Yu. Luchin, V. Kh. Salikhov, “Approximating $\ln 2$ by numbers in the field $\mathbb{Q}(\sqrt{2}\,)$”, Izv. Math., 82:3 (2018), 549–577
Citation in format AMSBIB
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\by M.~Yu.~Luchin, V.~Kh.~Salikhov
\paper Approximating $\ln 2$ by numbers in the field $\mathbb{Q}(\sqrt{2}\,)$
\jour Izv. Math.
\yr 2018
\vol 82
\issue 3
\pages 549--577
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  • https://doi.org/10.1070/IM8518
  • https://www.mathnet.ru/eng/im/v82/i3/p108
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:395
    Russian version PDF:60
    English version PDF:17
    References:50
    First page:28
     
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