Abstract
We establish new results on sets of recurrence and van der Corput sets in ℤk which refine and unify some of the previous results obtained by Sárkőzy, Furstenberg, Kamae and Mèndes France, and Bergelson and Lesigne. The proofs utilize a general equidistribution result involving prime powers which is of independent interest.
Original language | English |
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Pages (from-to) | 729-760 |
Number of pages | 32 |
Journal | Israel Journal of Mathematics |
Volume | 201 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2014 |
ASJC Scopus subject areas
- General Mathematics
Fields of Expertise
- Information, Communication & Computing
Treatment code (Nähere Zuordnung)
- Theoretical