Uniform Distribution of Prime Powers and sets of Recurrence and van der Corput sets in Z^k

2013/04/16 by Bergelson, Vitaly, Kolesnik, Grigori, Madritsch, Manfred +2 · 2 citations
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1304.4641

Abstract

We establish new results on sets of recurrence and van der Corput sets in Z^k which refine and unify some of the previous results obtained by Sarkozy, Furstenberg, Kamae and Mendes France, and Bergelson and Lesigne. The proofs utilize a general equidistribution result involving prime powers which is of independent interest.

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