English

A bilinear proof of decoupling for the cubic moment curve

Classical Analysis and ODEs 2020-12-23 v3 Number Theory

Abstract

Using a bilinear method that is inspired by the method of efficient congruencing of Wooley [Woo16], we prove a sharp decoupling inequality for the moment curve in R3\mathbb{R}^3.

Keywords

Cite

@article{arxiv.1906.07989,
  title  = {A bilinear proof of decoupling for the cubic moment curve},
  author = {Shaoming Guo and Zane Kun Li and Po-Lam Yung},
  journal= {arXiv preprint arXiv:1906.07989},
  year   = {2020}
}

Comments

28 pages; revised version incorporating referee comments