Complete uniform distribution of some oscillating sequences Academic Article uri icon

abstract

  • Our main result is that the sequence (P (n) cos n alpha), n = 1, 2, ... , is completely uniformly distributed modulo 1 for any non-constant polynomial P and alpha with cos alpha transcendental. It follows as a very special case of our results that, if lambda is a Salem number of degree 4, then the sequence (n lambda(n))(n=0)(infinity) is uniformly distributed modulo 1.

publication date

  • January 1, 2011