Israel Journal of Mathematics

, Volume 71, Issue 2, pp 161–179

Distribution modulo 1 of some oscillating sequences

• Daniel Berend
• Grigori Kolesnik
Article

Abstract

Sequences of the form (P(n)f(Q(n))) n=1 ,P andQ polynomials,f a “highly differentiable” periodic function, are considered. The results of [3] concerning the recurrence of this sequence to its value forn=0 are given a quantitative form. Density and uniform distribution modulo 1 are studied for specialQ’s.

Keywords

Diophantine Approximation Real Polynomial Quantitative Form Implied Constant Poisson Summation Formula
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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