Mean value estimates for Weyl sums in two dimensions

2015/09/15 by Bourgain, Jean, Demeter, Ciprian
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1509.05388

Abstract

We use decoupling theory to estimate the number of solutions for quadratic and cubic Parsell--Vinogradov systems in two dimensions.

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