Arithmetic structures in random sets

Details Arithmetic structures in random sets Arithmetic structures in random sets

2007-03-26

arxiv.org/abs/math/0703749v1

Mathematics

Number Theory

22 pages

Scientific paper

We extend two well-known results in additive number theory, S\'ark\"ozy's
theorem on square differences in dense sets and a theorem of Green on long
arithmetic progressions in sumsets, to subsets of random sets of asymptotic
density 0. Our proofs rely on a restriction-type Fourier analytic argument of
Green and Green-Tao.

Affiliated with

Also associated with

No associations

Rating

Arithmetic structures in random 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 Arithmetic structures in random sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Arithmetic structures in random sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-68680