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
Dominique Maldague
Massachusetts Institute of Technology, Cambridge, USA
Hong Wang
UCLA, Los Angeles, USA

Download PDF

This article is published open access under our Subscribe to Open model.

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