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

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https://doi.org/10.1016/j.aim.2017.09.008
http://arxiv.org/pdf/1608.06346

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2017-11-07

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https://hdl.handle.net/2022/31793

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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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Bourgain, Jean, et al. "Sharp bounds for the cubic Parsell-Vinogradov system in two dimensions." Advances in Mathematics, vol. 320, pp. 827-875, 2017-11-7, https://doi.org/10.1016/j.aim.2017.09.008.

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Advances in Mathematics

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Faculty Open Access Articles