Mathematics – Combinatorics
Scientific paper
2001-08-22
Mathematics
Combinatorics
8 pages
Scientific paper
We construct subsets of {1,...,N} of cardinality at least N exp(-C(log
N)^{1/(k+1)}) which do not contain arithmetic progressions of length 2^k+1.
This extends a result of Behrend (1946) concerning sets which do not contain
aritmetic progressions of length 3.
Laba Izabella
Lacey Michael T.
No associations
LandOfFree
On sets of integers not containing long arithmetic progressions 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 On sets of integers not containing long arithmetic progressions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On sets of integers not containing long arithmetic progressions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-190100