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Izvestiya: Mathematics, 2015, Volume 79, Issue 1, Pages 1–17
DOI: https://doi.org/10.1070/IM2015v079n01ABEH002731 (Mi im8259) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Irrationality measure of the number $\frac{\pi}{\sqrt{3}}$

V. A. Androsenko

Bryansk State Technical University
English version PDF (316 kB) Citations (8)
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DOI: https://doi.org/10.1070/IM2015v079n01ABEH002731
Abstract: Using a new integral construction combining the idea of symmetry suggested by Salikhov in 2007 and the integral introduced by Marcovecchio in 2009, we obtain a new bound for the irrationality measure of $\frac{\pi}{\sqrt{3}}$.
Keywords: irrationality measure, linear form, complex integral.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00171
The research was partially financially supported by the RFBR (grant no. 12-01-00171).
Received: 05.06.2014
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2015, Volume 79, Issue 1, Pages 3–20
DOI: https://doi.org/10.4213/im8259
Bibliographic databases:
Document Type: Article
UDC: 511.36
MSC: 11J82
Language: English
Original paper language: Russian
Citation: V. A. Androsenko, “Irrationality measure of the number $\frac{\pi}{\sqrt{3}}$”, Izv. RAN. Ser. Mat., 79:1 (2015), 3–20; Izv. Math., 79:1 (2015), 1–17
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2015v079n01ABEH002731
  • https://www.mathnet.ru/eng/im/v79/i1/p3
    • This publication is cited in the following 8 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:389
    English version PDF:30
    References:74
    First page:74
     
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