Sets of integers with no large sum-free subset

• 成果类型: Article
• 署名作者: Eberhard, Sean; Green, Ben; Manners, Freddie
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.2.5
• 发表日期: 2014
• 页码: 621-652
• 关键词: sumsets

摘要

Answering a question of P. Erdos from 1965, we show that for every epsilon > 0 there is a set A of n integers with the following property: every set A' subset of A with at least (1/3 + epsilon) n elements contains three distinct elements x, y, z with x + y = z.