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arXiv · 2009.07953

Improved decoupling for the parabola

Larry Guth·Dominique Maldague·Hong Wang
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Abstract

We prove an $(l^2, l^6)$ decoupling inequality for the parabola with constant $(\log R)^c$. In the appendix, we present an application to the six-order correlation of the integer solutions to $x^2+y^2=m$.

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Larry Guth, Dominique Maldague, Hong Wang. 2020-09-16. Improved decoupling for the parabola. https://arxiv.org/abs/2009.07953

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