On the irrationality exponent of the number \(\ln 2\)
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Publication:650312
DOI10.1134/S0001434610090257zbMath1241.11085MaRDI QIDQ650312
Publication date: 25 November 2011
Published in: Mathematical Notes (Search for Journal in Brave)
irrationality measureMeijer \(G\)-functionsaddle-point methodirrationality exponentirrational numberMarcovecchio estimate
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
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