On the limit points of $(a_n\xi )_{n=1}^{\infty }$ mod $1$ for slowly increasing integer sequences $(a_n)_{n=1}^{\infty }$

DOI10.1090/S0002-9939-08-09491-4zbMath1221.11161OpenAlexW1564909016MaRDI QIDQ3604995

Arturas Dubickas

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09491-4

zbMATH Keywords

distribution modulo 1recurrence sequencequadratic algebraic number

Mathematics Subject Classification ID

Recurrences (11B37) Density, gaps, topology (11B05) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items (4)

On limit points of subsequences of uniformly distributed sequences ⋮ On sequences $(a_n \xi )_{n \ge 1}$ converging modulo $1$ ⋮ Sumsets of sparse sets ⋮ On the set of points with absolutely convergent trigonometric series

Cites Work

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• Elementary Proof of Furstenberg's Diophantine Result
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• On the density of sequences \(\{n_k\xi\}\)

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