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Matematicheskie Zametki, 2015, Volume 97, Issue 4, Pages 483–492
DOI: https://doi.org/10.4213/mzm10201 (Mi mzm10201) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Symmetrized Version of the Markovecchio Integral in the Theory of Diophantine Approximations

V. A. Androsenko, V. Kh. Salikhova

a Bryansk State Technical University
Full-text PDF (450 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10201
Abstract: A new integral construction unifying the idea of symmetry proposed by Salikhov in 2007 and the integral introduced by Markovecchio in 2009 is considered. The application of this construction leads, in particular, to a sharper estimate of the measure of irrationality of the number $\pi/\sqrt{3}$.
Keywords: Diophantine approximation, Markovecchio integral, Salikhov symmetrized integral, measure of irrationality, Gauss hypergeometric function, Kummer's formula.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00171
This work was supported by the Russian Foundation for Basic Research (grant no. 12-01-00171).
Received: 01.11.2012
Revised: 01.02.2013
English version:
Mathematical Notes, 2015, Volume 97, Issue 4, Pages 493–501
DOI: https://doi.org/10.1134/S0001434615030219
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
Citation: V. A. Androsenko, V. Kh. Salikhov, “Symmetrized Version of the Markovecchio Integral in the Theory of Diophantine Approximations”, Mat. Zametki, 97:4 (2015), 483–492; Math. Notes, 97:4 (2015), 493–501
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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