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

Jean Bourgain; Ciprian Demeter; Larry Guth

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arXiv · 1512.01565

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

Jean Bourgain·Ciprian Demeter·Larry Guth

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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

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Jean Bourgain, Ciprian Demeter, Larry Guth. 2015-12-04. Proof of the main conjecture in Vinogradov's mean value theorem for degrees higher than three. https://arxiv.org/abs/1512.01565

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