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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)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2018, Volume 82, Issue 3, Pages 108–135
DOI: https://doi.org/10.4213/im8518
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. RAN. Ser. Mat., 82:3 (2018), 108–135; Izv. Math., 82:3 (2018), 549–577
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:52
    English version PDF:7
    References:34
    First page:28
     
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