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arXiv · 1304.4641

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

Vitaly Bergelson·Grigori Kolesnik·Manfred Madritsch·Younghwan Son·Robert Tichy
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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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Vitaly Bergelson, Grigori Kolesnik, Manfred Madritsch, Younghwan Son, Robert Tichy. 2013-04-16. Uniform Distribution of Prime Powers and sets of Recurrence and van der Corput sets in Z^k. https://arxiv.org/abs/1304.4641

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