Proof of the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three

• 成果类型: Article
• 署名作者: Bourgain, Jean; Demeter, Ciprian; Guth, Larry
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2016.184.2.7
• 发表日期: 2016
• 页码: 633-682
• 关键词: l-p; bounds; inequalities; Operators

摘要

We prove the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three. This will be a consequence of a sharp decoupling inequality for curves.