On the Irrationality Measures of Certain Numbers. II

@article{Polyanskii2018OnTI,
title={On the Irrationality Measures of Certain Numbers. II},
author={A. Polyanskii},
journal={Mathematical Notes},
year={2018},
volume={103},
pages={626-634}
}
For the irrationalitymeasures of the numbers $$\sqrt {2k - 1}$$2k−1 arctan$$\left( {\sqrt {2k - 1} /\left( {k - 1} \right)} \right)$$(2k−1/(k−1)), where k is an even positive integer, upper bounds are presented.
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The paper presents upper estimates for the irrationality measure and the non-quadraticity measure for the numbers $\alpha_k=\sqrt{2k+1}\ln\frac{\sqrt{2k+1}-1}{\sqrt{2k+1}+1}, \ k\in\mathbb N.$
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