Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 5, Pages 25–29 (Mi vmumm433)  
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
Full-text PDF (236 kB) Citations (3)
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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.
Funding agency Grant number
Russian Foundation for Basic Research 09-01-00743
Received: 28.11.2012
English version:
Moscow University Mathematics Bulletin, 2013, Volume 68, Issue 5, Pages 237–240
DOI: https://doi.org/10.3103/S0027132213050045
Bibliographic databases:
Document Type: Article
UDC: 511.36
Language: Russian
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
Citation in format AMSBIB
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\by A.~A.~Polyanskii
\paper Quadratic irrationality exponents of certain numbers
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2013
\issue 5
\pages 25--29
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\transl
\jour Moscow University Mathematics Bulletin
\yr 2013
\vol 68
\issue 5
\pages 237--240
\crossref{https://doi.org/10.3103/S0027132213050045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84887357897}
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    • This publication is cited in the following 3 articles:
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