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A bilinear proof of decoupling for the cubic moment curve
Transactions of the American Mathematical Society ( IF 1.2 ) Pub Date : 2021-05-18 , DOI: 10.1090/tran/8363 Shaoming Guo , Zane Kun Li , Po-Lam Yung
Transactions of the American Mathematical Society ( IF 1.2 ) Pub Date : 2021-05-18 , DOI: 10.1090/tran/8363 Shaoming Guo , Zane Kun Li , Po-Lam Yung
Abstract:Using a bilinear method that is inspired by the method of efficient congruencing of Wooley [Adv. Math. 294 (2016), pp. 532–561], we prove a sharp decoupling inequality for the moment curve in $\mathbb {R}^3$.
中文翻译:
三次矩曲线解耦的双线性证明
摘要:使用受 Wooley 的高效同余方法启发的双线性方法 [Adv. 数学。294 (2016), pp. 532–561],我们证明了 $\mathbb {R}^3$ 中矩曲线的急剧解耦不等式。
更新日期:2021-05-18
中文翻译:
三次矩曲线解耦的双线性证明
摘要:使用受 Wooley 的高效同余方法启发的双线性方法 [Adv. 数学。294 (2016), pp. 532–561],我们证明了 $\mathbb {R}^3$ 中矩曲线的急剧解耦不等式。