Diophantine approximations of \(\log 2\) and other logarithms

DOI10.1134/S0001434608030097zbMath1201.11073MaRDI QIDQ2517986

E. S. Sal'nikova

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Diophantine approximationhypergeometric functionmeasure of irrationality

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Approximation by numbers from a fixed field (11J17)

Related Items (3)

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 $\frac{1}{\sqrt{k}}\arctg{\frac{1}{\sqrt{k}}}^1$ ⋮ Approximating \(\pi\) by numbers in the field \(\mathbb{Q}(\sqrt{3})\)

Cites Work

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• On the irrationality measure of \(\ln 3\)
• On irrationality measures on the values of Gauss hypergeometric function
• Legendre type polynomials and irrationality measures.
• Irrationality measures of the values of hypergeometric functions
• An application of Jacobi type polynomials to irrationality measures

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