Showing math.NTShow all
2 papers · 1 filter
math.NT2021
Improved discrete restriction for the parabola
Shaoming Guo, Zane Kun Li, Po-Lam Yung
Using ideas from Guth-Maldague-Wang and working over , we show that the discrete restriction constant for the parabola is $O_{\varepsilon}((\log M)^{2 + \varepsilon})…
math.NT2018
On integer solutions of Parsell-Vinogradov systems
Shaoming Guo, Ruixiang Zhang
We prove a sharp upper bound on the number of integer solutions of the Parsell-Vinogradov system in every dimension .