|
This article is cited in 3 scientific papers (total in 3 papers)
On the Irrationality Measures of Certain Numbers. II
A. A. Poljanskijabc a Lomonosov Moscow State University
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
Abstract:
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.
Received: 19.06.2012 Revised: 13.06.2017
Citation:
A. A. Poljanskij, “On the Irrationality Measures of Certain Numbers. II”, Mat. Zametki, 103:4 (2018), 582–591; Math. Notes, 103:4 (2018), 626–634
Linking options:
https://www.mathnet.ru/eng/mzm10218https://doi.org/10.4213/mzm10218 https://www.mathnet.ru/eng/mzm/v103/i4/p582
|
|