Daniel Berend
Senior Academic
Complete uniform distribution of some oscillating sequences
Our main result is that the sequence (P(n) cos nα), n = 1, 2, ⋯, is completely uniformly distributed modulo 1 for any non-constant polynomial P and α with cos α transcendental. It follows as a very special case of our results that, if λ is a Salem number of degree 4, then the sequence (nλn)n=0∞ is uniformly distributed modulo 1.
| Publication language | English |
| Pages | 127-144 |
| Journal | Journal of the Ramanujan Mathematical Society |
| Volume | 26 |
| Issue number | 2 |
| Publication status | Published - 01.06.2011 |
ASJC Scopus subject areas
General Mathematics
