Decoupling inequalities and some mean-value theorems

2014/06/30 by Bourgain, Jean
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1406.7862

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.

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