Arithmetic progressions in sets with small sumsets

Details Arithmetic progressions in sets with small sumsets Arithmetic progressions in sets with small sumsets

2005-03-28

arxiv.org/abs/math/0503649v1

Mathematics

Number Theory

To appear in Combinatorics Probability and Computation

Scientific paper

We present an elementary proof that if $A$ is a finite set of numbers, and
the sumset $A+_GA$ is small, $|A+_GA|\leq c|A|$, along a dense graph $G$, then
$A$ contains $k$-term arithmetic progressions.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161688