Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions

2016/08/23 by Jean Bourgain, Ciprian Demeter, Bourgain, Jean +3
Mathematics · Physics and Astronomy · #11L07 #42A45 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1608.06346

openalex publication_date 2016/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a sharp decoupling for a certain two dimensional surface in R⁹. As an application, we obtain the full range of expected estimates for the cubic Parsell-Vinogradov system in two dimensions.

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