Decoupling inequalities and some mean-value theorems
Number Theory
2014-07-01 v1
Abstract
The purpose of this paper is to present some further applications of the general decoupling theory from [B-D1, 2] to certain diophantine issues. In particular, we concider mean value estimates relevant to the Bombieri-Iwaniec approach to exponential sums and arising in the work of Robert and Sargos [R-S]. Our main input is a new mean value theorem.
Cite
@article{arxiv.1406.7862,
title = {Decoupling inequalities and some mean-value theorems},
author = {Jean Bourgain},
journal= {arXiv preprint arXiv:1406.7862},
year = {2014}
}