Improved discrete restriction for the parabola

Abstract

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

arXiv comment21 pages; revised version incorporating referee comments

References in corpus (2)

• Nested efficient congruencing and relatives of Vinogradov's mean value theorem
• Improved decoupling for the parabola

Cited by in corpus (1)

• Strichartz estimates and global well-posedness of the cubic NLS on ${\mathbb{T}}^2$