Distribution modulo 1 of some oscillating sequences
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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  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.
KeywordsDiophantine Approximation Real Polynomial Quantitative Form Implied Constant Poisson Summation Formula
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