Distribution modulo 1 of some oscillating sequences Academic Article uri icon

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.

publication date

  • January 1, 1990