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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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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