加法非光滑集的结构
Structure in additively nonsmoothing sets
摘要：
由霍德不等式，有许多加法四元组的集合保证有许多加法八元组。比这多不了多少的集合称为加法非光滑。我们给出了一个新的证明的结构定理的非光滑集，最初出现在工作的作者（\cite{BK}）的帽集的大小在$F_3 ^N$。
英文摘要：
Sets with many additive quadruples are guaranteed to have many additive octuples, by Hölder'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 $F_3 ^N$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
