Geodesic
On irrationality measure arctg13
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2019), pp. 69-75.

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We investigate the arithmetic properties of the value arctg13. We elaborate special integral construction with the property of symmetry for evaluating irrationality measure of this number. We research linear form, generated by this integral, and prove a new result for extent of the irrationality of arctg13, which improves the previous one.
Mots-clés : irrationality measure, linear form. 
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     title = {On irrationality measure $\mathrm{arctg}\, \frac {1}{3}$},
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V. Kh. Salikhov; M. G. Bashmakova. On irrationality measure $\mathrm{arctg}\, \frac {1}{3}$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2019), pp. 69-75. https://geodesic-test.mathdoc.fr/item/IVM_2019_1_a6/

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