A short proof of $\ell^2$ decoupling for the moment curve
Number Theory
2023-09-12 v3 Classical Analysis and ODEs
Abstract
We give a short and elementary proof of the decoupling inequality for the moment curve in , using a bilinear approach inspired by the nested efficient congruencing argument of Wooley (arXiv:1708.01220).
Cite
@article{arxiv.1912.09798,
title = {A short proof of $\ell^2$ decoupling for the moment curve},
author = {Shaoming Guo and Zane Kun Li and Po-Lam Yung and Pavel Zorin-Kranich},
journal= {arXiv preprint arXiv:1912.09798},
year = {2023}
}
Comments
v3: fixed up issues about weights in the published version. Weights in Section 3 are now required to decay a bit faster at infinity, and proofs of properties of weights are now given in an Appendix