%0 Journal Article %T Mean value estimates for Weyl sums in two dimensions %A Jean Bourgain %A Ciprian Demeter %J Mathematics %D 2015 %I arXiv %X We use decoupling theory to estimate the number of solutions for quadratic and cubic Parsell--Vinogradov systems in two dimensions. %U http://arxiv.org/abs/1509.05388v1