On Roth's theorem on progressions

• 成果类型: Article
• 署名作者: Sanders, Tom
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2011.174.1.20
• 发表日期: 2011
• 页码: 619-636
• 关键词: integer sets

摘要

We show that if A subset of {1,..., N} contains no nontrivial three-term arithmetic progressions then vertical bar A vertical bar = O(N/log(1-o(1)) N).