Distribution modulo 1 of some oscillating sequences

Daniel Berend; Grigori Kolesnik

doi:10.1007/BF02811882

Distribution modulo 1 of some oscillating sequences

Daniel Berend, Grigori Kolesnik

Department of Computer Science

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

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Abstract

Sequences of the form (P(n)f(Q(n)))_n=1^∞, P and Q polynomials, f a "highly differentiable" periodic function, are considered. The results of [3] concerning the recurrence of this sequence to its value for n=0 are given a quantitative form. Density and uniform distribution modulo 1 are studied for special Q's.

Original language	English
Pages (from-to)	161-179
Number of pages	19
Journal	Israel Journal of Mathematics
Volume	71
Issue number	2
DOIs	https://doi.org/10.1007/BF02811882
State	Published - 1 Dec 1990

ASJC Scopus subject areas

General Mathematics

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10.1007/BF02811882

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

abstract = "Sequences of the form (P(n)f(Q(n))) n=1 ∞, P and Q polynomials, f a {"}highly differentiable{"} periodic function, are considered. The results of [3] concerning the recurrence of this sequence to its value for n=0 are given a quantitative form. Density and uniform distribution modulo 1 are studied for special Q's.",

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AU - Kolesnik, Grigori

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AB - Sequences of the form (P(n)f(Q(n))) n=1 ∞, P and Q polynomials, f a "highly differentiable" periodic function, are considered. The results of [3] concerning the recurrence of this sequence to its value for n=0 are given a quantitative form. Density and uniform distribution modulo 1 are studied for special Q's.

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JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

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Distribution modulo 1 of some oscillating sequences

Abstract

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