Structure in additively nonsmoothing sets

Details Structure in additively nonsmoothing sets Structure in additively nonsmoothing sets

2011-04-14

arxiv.org/abs/1104.2862v1

Mathematics

Combinatorics

18 pages

Scientific paper

Sets with many additive quadruples are guaranteed to have many additive
octuples, by H\"{o}lder's inequality. Sets with not many more than this are
said to be additively nonsmoothing. We give a new proof of a structural theorem
for nonsmoothing sets that originally appeared in work of the authors
(\cite{BK}) on the size of cap sets in $F_3 ^N$.

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