# On Irrationality Measure of arctan $$\frac{1}{3}$$13

@article{Salikhov2019OnIM,
title={On Irrationality Measure of arctan \$\$\frac\{1\}\{3\}\$\$13},
author={V. Salikhov and M. Bashmakova},
journal={Russian Mathematics},
year={2019},
volume={63},
pages={61-66}
}
• Published 2019
• Mathematics
• Russian Mathematics
We investigate the arithmetic properties of the value arctan $$\frac{1}{3}$$13. 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 arctan $$\frac{1}{3}$$13, which improves the previous one.
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