Über \(\displaystyle{\lim_{x\to +\infty}} x|\vartheta x+\alpha - y|\)

DOI10.1007/BF01361127zbMath0055.04401MaRDI QIDQ2651615

J. W. S. Cassels

Publication date: 1954

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/160379

zbMATH Keywords

inequalitycontinued fraction approximation

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Diophantine inequalities (11J25)

Related Items (9)

A Restricted Inhomogeneous Minimum for Forms ⋮ Dynamics of Ostrowski skew-product: 1. Limit laws and Hausdorff dimensions ⋮ On the theory of diophantine approximations. I1 (on a problem of A. Ostrowski) ⋮ On inhomogeneous Diophantine approximation with some quasi-periodic expressions. II. ⋮ Local discrepancies in the problem of the distribution of the sequence \(\{k\alpha\}\) ⋮ Polynomial indexing of integer lattice-points. II. Nonexistence results for higher-degree polynomials ⋮ Dirac operators with periodic \(\delta\)-interactions: spectral gaps and inhomogeneous Diophantine approximation ⋮ On Diophantine Approximations ⋮ Distribution modulo 1 of some oscillating sequences

Cites Work

• Neuer Beweis und Verallgemeinerung eines Hurwitzschen Satzes

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