Mathematics – Dynamical Systems
Scientific paper
2009-11-12
Mathematics
Dynamical Systems
LaTeX, 19 Pages, major revision. Main proof simplified, references added. Accepted by Israel Journal of Mathematics
Scientific paper
R. Jin showed that whenever A and B are sets of integers having positive
upper Banach density, the sumset A+B is piecewise syndetic. This result was
strengthened by Bergelson, Furstenberg, and Weiss to conclude that A+B must be
piecewise Bohr. We generalize the latter result to cases where A has Banach
density 0, giving a new proof of the previous results in the process.
No associations
LandOfFree
Sumsets of dense sets and sparse sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Sumsets of dense sets and sparse sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sumsets of dense sets and sparse sets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-149972