On integer solutions of Parsell-Vinogradov systems

• 成果类型: Article
• 署名作者: Guo, Shaoming; Zhang, Ruixiang
• 署名单位: Institute for Advanced Study - USA; Indiana University System; Indiana University Bloomington; University of Wisconsin System; University of Wisconsin Madison
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-019-00881-6
• 发表日期: 2019
• 页码: 1-81
• 关键词: mean-value theorem; main conjecture; bounds; PROOF; decouplings

摘要

We prove a sharp upper bound on the number of integer solutions of the Parsell-Vinogradov system in every dimension d >= 2