Mean value estimates for Weyl sums in two dimensions

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

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Bourgain, Jean, and Demeter, Ciprian. "Mean value estimates for Weyl sums in two dimensions." Journal of London Mathematical Society, 2017, https://doi.org/10.1112/jlms/jdw063.

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Journal of London Mathematical Society

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