On the irrationality exponent of the number \(\ln 2\)

DOI10.1134/S0001434610090257zbMath1241.11085MaRDI QIDQ650312

Yuri V. Nesterenko

Publication date: 25 November 2011

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

zbMATH Keywords

irrationality measureMeijer \(G\)-functionsaddle-point methodirrationality exponentirrational numberMarcovecchio estimate

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82)

Related Items (13)

On Catalan's constant ⋮ On the quadratic exponent of irrationality of \(\ln 2\) ⋮ Approximating $\ln 2$ by numbers in the field $ {\mathbb{Q}}(\sqrt{2}\,)$ ⋮ On the convergence of alternating series associated with Beatty sequences ⋮ Values of the beta function: from Ramanujan's continued fraction to Hermite-Padé approximants ⋮ Approximating \(\pi\) by numbers in the field \(\mathbb{Q}(\sqrt{3})\) ⋮ On the irrationality exponent of the regular paperfolding numbers ⋮ Approximation of values of the Gauss hypergeometric function by rational fractions ⋮ On the irrationality measures of certain numbers. II ⋮ Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\) ⋮ On simultaneous approximations of $\ln 3$ and $\pi/\sqrt{3}$ by rational numbers ⋮ Symmetrized version of the Markovecchio integral in the theory of Diophantine approximations ⋮ Quadratic irrationality exponents of certain numbers

Cites Work

• A few remarks on \(\zeta (3)\)
• The group structure for ζ(3)
• Legendre type polynomials and irrationality measures.
• The Rhin–Viola method for log 2
• On the irrationality measure of $ \pi$
• Rational approximations to π and some other numbers
• On a permutation group related to ζ(2)
• Approximations to the logarithms of certain rational numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the irrationality exponent of the number \(\ln 2\)