On rational approximations for some values of \(\arctan(s/ r)\) for natural \(s\) and \(r\), \(s < r\)

DOI10.2140/MOSCOW.2022.11.181zbMath1501.11077OpenAlexW4292501557MaRDI QIDQ2165899

V. Kh. Salikhov, Mariya G. Bashmakova

Publication date: 23 August 2022

Published in: Moscow Journal of Combinatorics and Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/moscow.2022.11.181

zbMATH Keywords

irrationality measure

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82)

Cites Work

• On irrationality measures on the values of Gauss hypergeometric function
• Irrationalité de certaines intégrales hypergéométriques. (Irrationality of certain hypergeometric integrals)
• On irrationality measure of some values of \(\arctan \frac{1}{n} \)
• An application of Jacobi type polynomials to irrationality measures
• Rational approximations to π and some other numbers
• On the linear independence measure of logarithms of rational numbers
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