English

Improved discrete restriction for the parabola

Number Theory 2021-10-15 v2 Classical Analysis and ODEs

Abstract

Using ideas from Guth-Maldague-Wang and working over Qp\mathbb{Q}_p, we show that the discrete restriction constant for the parabola is Oε((logM)2+ε)O_{\varepsilon}((\log M)^{2 + \varepsilon}).

Cite

@article{arxiv.2103.09795,
  title  = {Improved discrete restriction for the parabola},
  author = {Shaoming Guo and Zane Kun Li and Po-Lam Yung},
  journal= {arXiv preprint arXiv:2103.09795},
  year   = {2021}
}

Comments

21 pages; revised version incorporating referee comments

R2 v1 2026-06-24T00:17:03.461Z