Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three

Abstract

We prove the main conjecture in Vinogradov's Mean Value Theorem for degrees higher than three. This will be a consequence of a sharp decoupling inequality for curves

Final version, to appear in Annals of Mathematics. We have added the epsilon removal argument in Section 5

References in corpus (1)

• A short proof of the multilinear Kakeya inequality

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