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 - http://www.scopus.com/inward/record.url?scp=85032187220&partnerID=8YFLogxK

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 -