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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 5, Pages 25–29
(Mi vmumm433)
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This article is cited in 3 scientific papers (total in 3 papers)
Mathematics
Quadratic irrationality exponents of certain numbers
A. A. Polyanskii Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The paper presents upper estimates for the non-quadraticity measure of the numbers $\sqrt{2k+1}\ln\bigr((k+1-\sqrt{2k+1})/k\bigl)$ and $\sqrt{2k-1}\operatorname{arctg}\bigr(\sqrt{2k-1}/(k-1)\bigl)$, where $k\in\mathbb{N}$. In particular, we improved an upper estimate for the non-quadraticity measure of $\ln2$.
Key words:
non-quadraticity measure.
Received: 28.11.2012
Citation:
A. A. Polyanskii, “Quadratic irrationality exponents of certain numbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 5, 25–29; Moscow University Mathematics Bulletin, 68:5 (2013), 237–240
Linking options:
https://www.mathnet.ru/eng/vmumm433 https://www.mathnet.ru/eng/vmumm/y2013/i5/p25
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Abstract page: | 117 | Full-text PDF : | 40 | References: | 32 |
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