TY - JOUR
T1 - Complete uniform distribution of some oscillating sequences
AU - Berend, D.
AU - Kolesnik, G.
N1 - Funding Information:
∗Research supported in part by the Israel Research Foundation (Grant #186/01). ∗∗Research supported in part by the Center for Advanced Studies in Mathematics at Ben-Gurion University.
PY - 2011/6/1
Y1 - 2011/6/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85032187220
M3 - Article
AN - SCOPUS:85032187220
SN - 0970-1249
VL - 26
SP - 127
EP - 144
JO - Journal of the Ramanujan Mathematical Society
JF - Journal of the Ramanujan Mathematical Society
IS - 2
ER -