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On the Uniform Distribution of Certain Sequences
Authors:Murty  M Ram  Srinivas  Kotyada
Institution:(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 agr as n ranges over the natural numbers and agr 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 agr as p ranges over the prime numbers.
Keywords:exponential sums  uniform distribution  the Linnik-Vaughan method
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