A bilinear proof of decoupling for the cubic moment curve

Guo, Shaoming; Li, Zane; Yung, Po-Lam

doi:10.1090/tran/8363

A bilinear proof of decoupling for the cubic moment curve
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by Shaoming Guo, Zane Kun Li and Po-Lam Yung PDF

Trans. Amer. Math. Soc. 374 (2021), 5405-5432 Request permission

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 $\mathbb {R}^3$.

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