Quadratic irrationality exponents of certain numbers

DOI10.3103/S0027132213050045zbMath1333.11067MaRDI QIDQ263241

Aleksandr A. Polyanskii

Publication date: 4 April 2016

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82)

Related Items (4)

Approximating $\ln 2$ by numbers in the field $ {\mathbb{Q}}(\sqrt{2}\,)$ ⋮ Об оценке меры иррациональности чисел вида $\sqrt{4k+3}\ln{\frac{\sqrt{4k+3}+1}{\sqrt{4k+3}-1}}$ и $\frac{1}{\sqrt{k}}\arctg{\frac{1}{\sqrt{k}}}^1$ ⋮ On the irrationality measures of certain numbers. II ⋮ On simultaneous approximations of $\ln 3$ and $\pi/\sqrt{3}$ by rational numbers

Cites Work

• Estimates for the exponent of irrationality for certain values of hypergeometric functions
• On the irrationality measure of certain numbers
• On the irrationality exponent of the number \(\ln 2\)
• The Rhin–Viola method for log 2
• 𝐂²-saddle method and Beukers’ integral

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