Good’s theorem for Hurwitz continued fractions

DOI10.1142/S1793042120500761zbMath1458.11126arXiv1806.11331MaRDI QIDQ3303481

Gerardo González Robert

Publication date: 11 August 2020

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11331

zbMATH Keywords

Diophantine approximationcontinued fractionsHurwitz continued fractionsGood's theorem

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Diophantine approximation in probabilistic number theory (11K60)

Related Items (4)

Hausdorff dimension of sets of numbers with large L\"uroth elements ⋮ Chaotic sets and Hausdorff dimension for Lüroth expansions ⋮ Hausdorff dimension of some sets in the theory of continued beta-fractions and its generalized continued fractions ⋮ Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism

Cites Work

• Modified Schmidt games and Diophantine approximation with weights
• Approximation properties of some complex continued fractions
• Diophantine approximation and badly approximable sets
• Purely periodic and transcendental complex continued fractions
• Badly approximable numbers over imaginary quadratic fields
• Continued fractions for complex numbers and values of binary quadratic forms
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