Improved decoupling for the parabola

Larry Guth; Dominique Maldague; Hong Wang

doi:10.4171/jems/1295

JournalsjemsVol. 26, No. 3pp. 875–917

Improved decoupling for the parabola

Larry Guth
Massachusetts Institute of Technology, Cambridge, USA
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- zbMATH Open
Dominique Maldague
Massachusetts Institute of Technology, Cambridge, USA
- MathSciNet
- zbMATH Open
Hong Wang
UCLA, Los Angeles, USA
- MathSciNet
- zbMATH Open

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Abstract

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

Cite this article

Larry Guth, Dominique Maldague, Hong Wang, Improved decoupling for the parabola. J. Eur. Math. Soc. 26 (2024), no. 3, pp. 875–917

DOI 10.4171/JEMS/1295