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arxiv: 1509.05388 · v2 · submitted 2015-09-15 · 🧮 math.CA · math.NT

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Mean value estimates for Weyl sums in two dimensions

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classification 🧮 math.CA math.NT
keywords dimensionscubicdecouplingestimateestimatesmeannumberparsell--vinogradov
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We use decoupling theory to estimate the number of solutions for quadratic and cubic Parsell--Vinogradov systems in two dimensions.

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