Geodesic
Symmetrized Version of the Markovecchio Integral in the Theory of Diophantine Approximations
Matematičeskie zametki, Tome 97 (2015) no. 4, pp. 483-492

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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 $\pi/\sqrt{3}$.
Mots-clés : Diophantine approximation
Keywords: Markovecchio integral, Salikhov symmetrized integral, measure of irrationality, Gauss hypergeometric function, Kummer's formula. 
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     author = {V. A. Androsenko and V. Kh. Salikhov},
     title = {Symmetrized {Version} of the {Markovecchio} {Integral} in the {Theory} of {Diophantine} {Approximations}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {483--492},
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     year = {2015},
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V. A. Androsenko; V. Kh. Salikhov. Symmetrized Version of the Markovecchio Integral in the Theory of Diophantine Approximations. Matematičeskie zametki, Tome 97 (2015) no. 4, pp. 483-492. http://geodesic.mathdoc.fr/item/MZM_2015_97_4_a0/