Mean value estimates for Weyl sums in two dimensions
Classical Analysis and ODEs
2016-08-12 v2 Number Theory
Abstract
We use decoupling theory to estimate the number of solutions for quadratic and cubic Parsell--Vinogradov systems in two dimensions.
Keywords
Cite
@article{arxiv.1509.05388,
title = {Mean value estimates for Weyl sums in two dimensions},
author = {Jean Bourgain and Ciprian Demeter},
journal= {arXiv preprint arXiv:1509.05388},
year = {2016}
}
Comments
Final version, to appear in JLMS. arXiv admin note: text overlap with arXiv:1508.01149