矩曲线 $\ell^2$ 解耦的一个简短证明
数论
2023-09-12 v3 经典分析与常微分方程
摘要
利用受 Wooley 的嵌套高效同余论证（arXiv:1708.01220）启发的双线性方法，我们给出了 中矩曲线的 解耦不等式的一个简短且初等的证明。
引用
@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}
}
备注
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