On uniform distribution of some oscillating sequences

03/24/2008 - 3:00pm
03/24/2008 - 4:00pm
Grigori Kolesnik (California State University at Los Angeles)

We prove that the sequence {P(n) cos(na)}, n = 1,2,... is completely uniformly distributed modulo 1 for any non-constant polynomial P and a such that cos(a) is transcendental. As a special case of this result, we prove that the sequence {n b^n} for n=0,1,2,... is uniformly distributed modulo 1 for any Salem number b of degree 4. This is joint work with D. Berend.

Davidson Lecture Hall at Claremont McKenna