ON THE DISTRIBUTION OF SEQUENCES OF THE FORM (qny)
We study the distribution of sequences of the form (qny)∞n=1, where (qn)∞n=1 is some increasing sequence of integers. In particular, we study the Lebesgue measure and find bounds on the Hausdorff dimension of the set of points γ ∈ [0, 1) which are well approximated by points in the sequence (qny)∞n=1. The bounds on Hausdorff dimension are valid for almost every y in the support of a measure of pos
