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arxiv: 1608.06346 · v1 · submitted 2016-08-23 · 🧮 math.NT · math.CA

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Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions

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keywords cubicdimensionsparsell-vinogradovsharpsystemapplicationboundscertain
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We prove a sharp decoupling for a certain two dimensional surface in R^9. As an application, we obtain the full range of expected estimates for the cubic Parsell-Vinogradov system in two dimensions.

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