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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2018 Volume 103, Issue 4, Pages 582–591 (Mi mzm10218)
This article is cited in 4 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.

UDC: 511

Received: 19.06.2012
Revised: 13.06.2017

DOI: 10.4213/mzm10218


 English version: Mathematical Notes, 2018, 103:4, 626–634

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© Steklov Math. Inst. of RAS, 2025