On a binary system of Prendiville: The cubic case

Published 24 Jan 2017 in math.NT and math.CA | (1701.06732v2)

Abstract: We prove sharp decoupling inequalities for a class of two dimensional non-degenerate surfaces in R^5, introduced by Prendiville. As a consequence, we obtain sharp bounds on the number of integer solutions of the Diophantine systems associated with these surfaces.

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Shaoming Guo

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