Distribution modulo 1 of some oscillating sequences, II

Daniel Berend; Michael D. Boshernitzan; Grigori Kolesnik

doi:10.1007/BF02762073

Distribution modulo 1 of some oscillating sequences, II

Daniel Berend, Michael D. Boshernitzan, Grigori Kolesnik

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Sequences defined by means of polynomials and highly differentiable quasiperiodic functions are considered. It is proved that under some conditions such sequences must assume small values modulo 1, or even be dense modulo 1. Negative results, demonstrating that some differentiablity conditions are necessary, are also obtained.

Original language	English
Pages (from-to)	125-147
Number of pages	23
Journal	Israel Journal of Mathematics
Volume	92
Issue number	1-3
DOIs	https://doi.org/10.1007/BF02762073
State	Published - 1 Feb 1995

ASJC Scopus subject areas

General Mathematics

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title = "Distribution modulo 1 of some oscillating sequences, II",

abstract = "Sequences defined by means of polynomials and highly differentiable quasiperiodic functions are considered. It is proved that under some conditions such sequences must assume small values modulo 1, or even be dense modulo 1. Negative results, demonstrating that some differentiablity conditions are necessary, are also obtained.",

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AU - Boshernitzan, Michael D.

AU - Kolesnik, Grigori

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N2 - Sequences defined by means of polynomials and highly differentiable quasiperiodic functions are considered. It is proved that under some conditions such sequences must assume small values modulo 1, or even be dense modulo 1. Negative results, demonstrating that some differentiablity conditions are necessary, are also obtained.

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JF - Israel Journal of Mathematics

IS - 1-3

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Distribution modulo 1 of some oscillating sequences, II

Abstract

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