DISTRIBUTION MODULO 1 OF SOME OSCILLATING SEQUENCES .2.

Authors
BEREND D BOSHERNITZAN MD KOLESNIK G
Citation
D. Berend et al., DISTRIBUTION MODULO 1 OF SOME OSCILLATING SEQUENCES .2., Israel Journal of Mathematics, 92(1-3), 1995, pp. 125-147
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
92
Issue
1-3
Year of publication
1995
Pages
125 - 147
Database
ISI
SICI code
0021-2172(1995)92:1-3<125:DM1OSO>2.0.ZU;2-H
Abstract
Sequences defined by means of polynomials and highly differentiable qu asiperiodic functions are considered. It is proved that under some con ditions such sequences must assume small values module 1, or even be d ense module 1. Negative results, demonstrating that some differentiabl ity conditions are necessary, are also obtained.