English

Improved decoupling for the parabola

Classical Analysis and ODEs 2020-09-18 v1

Abstract

We prove an (l2,l6)(l^2, l^6) decoupling inequality for the parabola with constant (logR)c(\log R)^c. In the appendix, we present an application to the six-order correlation of the integer solutions to x2+y2=mx^2+y^2=m.

Cite

@article{arxiv.2009.07953,
  title  = {Improved decoupling for the parabola},
  author = {Larry Guth and Dominique Maldague and Hong Wang},
  journal= {arXiv preprint arXiv:2009.07953},
  year   = {2020}
}

Comments

41 pages

R2 v1 2026-06-23T18:35:53.005Z