The irrationality exponents of computable numbers

DOI10.1090/proc/12841zbMath1336.11053arXiv1410.1017OpenAlexW1437222874MaRDI QIDQ2790259

Theodore A. Slaman, Verónica Becher, Yann Bugeaud

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1017

zbMATH Keywords

computabilityirrationality exponent

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Measures of irrationality and of transcendence (11J82) Computation over the reals, computable analysis (03D78)

Related Items (7)

The Chebyshev--Edgeworth Correction in the Central Limit Theorem for Integer-Valued Independent Summands ⋮ Smoothing and global attractors for the Hirota-Satsuma system on the torus ⋮ Well-posedness and critical index set of the Cauchy problem for the coupled KdV-KdV systems on \(\mathbb{T}\) ⋮ Irrationality exponent, Hausdorff dimension and effectivization ⋮ Liouville, computable, Borel normal and Martin-Löf random numbers ⋮ Central limit theorem and Diophantine approximations ⋮ Liouville numbers and the computational complexity of changing bases

Cites Work

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• Diophantine approximation and Cantor sets
• Diophantine approximation
• Simple continued fractions for some irrational numbers. II
• On simultaneous Diophantine approximations
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers
• Recursion Theory and Dedekind Cuts

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