Good Approximations and Continued Fractions

DOI10.2307/2048720zbMath0725.11033OpenAlexW4230701544MaRDI QIDQ5203106

Pierre Liardet, Cornelis Kraaikamp

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048720

zbMATH Keywords

continued fractionsbest approximation denominators

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55)

Related Items (22)

Strong characterizing sequences in simultaneous Diophantine approximation. ⋮ Characterized subgroups of the circle group ⋮ Centralizer and liftable centralizer of special flows over rotations ⋮ Ensemble d'invariants pour les produits croisés de Anzai ⋮ Characterizing subgroups of compact Abelian groups ⋮ Strong characterizing sequences for subgroups of compact groups ⋮ Statistically characterized subgroups of the circle. II: Continued fractions ⋮ Inclusions of characterized subgroups ⋮ Dirichlet sets vs characterized subgroups ⋮ On characterized subgroups of compact abelian groups ⋮ Polish LCA groups are strongly characterizable ⋮ On T-sequences and characterized subgroups ⋮ A characterization of the circle group via uniqueness of roots ⋮ Eggleston's dichotomy for characterized subgroups and the role of ideals ⋮ Characterizable groups: Some results and open questions ⋮ Ken and the Bohr topology ⋮ On multiple ergodicity of affine cocycles over irrational rotations ⋮ Invariant measures and asymptotics for some skew products ⋮ Closure operators in topological groups related to von Neumann's kernel ⋮ On the set of points with absolutely convergent trigonometric series ⋮ On simultaneous Diophantine approximation in the vector space \(\mathbb{Q} +\mathbb{Q}\alpha\) ⋮ Mackey groups and Mackey topologies

Cites Work

• A Convergence Problem Connected with Continued Fractions
• Irregularities of uniform distribution
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory
• Unnamed Item

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