Distribution modulo 1 of some oscillating sequences

DOI10.1007/BF02811882zbMath0726.11042OpenAlexW4250324063MaRDI QIDQ802660

Daniel Berend, Grigori Kolesnik

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02811882

zbMATH Keywords

exponential sumsuniform distribution

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Distribution modulo one (11J71)

Related Items (5)

Some open problems on multiple ergodic averages ⋮ Density of oscillating sequences in the real line ⋮ Distribution modulo 1 of some oscillating sequences. II ⋮ Joint ergodicity of sequences ⋮ Équidistribution presque partout modulo 1 de suites oscillantes perturbées

Cites Work

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• A recurrence property of smooth functions
• The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
• The distribution modulo 1 of trigonometric sequences
• Über \(\displaystyle{\lim_{x\to +\infty}} x|\vartheta x+\alpha - y|\)
• Simultaneous diophantine approximation and IP-sets
• On the Distribution Modulo 1 of the Sequence αn₂ + βn
• FRACTIONAL PARTS OF SEVERAL POLYNOMIALS
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

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