Daniel Berend

Senior Academic

Distribution modulo 1 of some oscillating sequences, II

Daniel Berend, Michael D. Boshernitzan, Grigori Kolesnik

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.

Publication language English
Pages 125-147
Journal Israel Journal of Mathematics
Volume 92
Issue number 1-3
Publication status Published - 01.02.1995

ASJC Scopus subject areas

General Mathematics
Access to Document
10.1007/BF02762073
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Link to publication in Scopus