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

Vitaly Bergelson, Grigori Kolesnik, Manfred Madritsch +2

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…