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math.CA2020★ 7 cited
Improved decoupling for the parabola
Larry Guth, Dominique Maldague, Hong Wang
We prove an decoupling inequality for the parabola with constant . In the appendix, we present an application to the six-order correlation of the integer s…
math.CA2020★ 8 cited
An improved result for Falconer's distance set problem in even dimensions
Xiumin Du, Alex Iosevich, Yumeng Ou +2
We show that if compact set has Hausdorff dimension larger than , where is an even integer, then the distance set of …