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

Ciprian Demeter; Jean Bourgain; Larry Guth

arxiv: 1512.01565 · v3 · pith:MJD6XI4Tnew · submitted 2015-12-04 · 🧮 math.NT

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

Jean Bourgain , Ciprian Demeter , Larry Guth This is my paper

classification 🧮 math.NT

keywords conjecturedegreeshighermainmeantheoremthreevalue

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

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