3 papers
math.CA2021
The Bochner-Riesz problem: an old approach revisited
Shaoming Guo, Changkeun Oh, Hong Wang +2
We show that the recent techniques developed to study the Fourier restriction problem apply equally well to the Bochner-Riesz problem. This is achieved via applying a pseudo-confor…
math.CA2021
A stationary set method for estimating oscillatory integrals
Saugata Basu, Shaoming Guo, Ruixiang Zhang +1
We propose a new method of estimating oscillatory integrals, which we call a stationary set method. We use it to obtain the sharp convergence exponents of Tarry's problems in dimen…
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 .