On the Irrationality Measures of Certain Numbers.~II
Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 582-591
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For the irrationality measures of the numbers $\sqrt{2k-1}\,\operatorname{arctan}(\sqrt{2k-1}/(k-1))$, where $k$ is an even positive integer, upper bounds are presented.
Keywords:
irrationality measure.
@article{MZM_2018_103_4_a9,
author = {A. A. Poljanskij},
title = {On the {Irrationality} {Measures} of {Certain} {Numbers.~II}},
journal = {Matemati\v{c}eskie zametki},
pages = {582--591},
publisher = {mathdoc},
volume = {103},
number = {4},
year = {2018},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a9/}
}
A. A. Poljanskij. On the Irrationality Measures of Certain Numbers.~II. Matematičeskie zametki, Tome 103 (2018) no. 4, pp. 582-591. http://geodesic.mathdoc.fr/item/MZM_2018_103_4_a9/