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arxiv: 1508.01149 · v1 · submitted 2015-08-05 · 🧮 math.CA · math.NT

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Optimal mean value estimates for the quadratic Weyl sums in two dimensions

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keywords dimensionsmeanvaluedecouplingepsilonestimateestimateslosses
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We use decoupling theory to prove a sharp (up to $N^\epsilon$ losses) estimate for Vinogradov's mean value theorem in two dimensions

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