Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions
Number Theory
2016-08-24 v1 Classical Analysis and ODEs
Abstract
We prove a sharp decoupling for a certain two dimensional surface in R^9. As an application, we obtain the full range of expected estimates for the cubic Parsell-Vinogradov system in two dimensions.
Keywords
Cite
@article{arxiv.1608.06346,
title = {Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions},
author = {Jean Bourgain and Ciprian Demeter and Shaoming Guo},
journal= {arXiv preprint arXiv:1608.06346},
year = {2016}
}
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35 pages