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math.NT2018
Decoupling for moment manifolds associated to Arkhipov--Chubarikov--Karatsuba systems
Shaoming Guo, Pavel Zorin-Kranich
We prove decoupling inequalities for a class of moment manifolds. These inequalities imply optimal mean value estimates for multidimensional Weyl sums of the kind c…
math.NT2018
On integer solutions of Parsell-Vinogradov systems
Shaoming Guo, Ruixiang Zhang
We prove a sharp upper bound on the number of integer solutions of the Parsell-Vinogradov system in every dimension .