(1) Department of Mathematics, Queen's University, Kingston, K7L 3N6, Ontario, Canada;(2) Department of Math & Stats., Queen's University, Jeffery Hall, Kingston, Ontario, K7L 3N6, Canada
Abstract:
We investigate the uniform distribution of the sequence n as n ranges over the natural numbers and is a fixed positive real number which is not an integer. We then apply this in conjunction with the Linnik-Vaughan method to study the uniform distribution of the sequence p as p ranges over the prime numbers.