4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CA2023
A Stein-Tomas type estimate and a decoupling inequality
Xiaochun Li
A Stein-Tomas type inequality and a (weak) decoupling inequality are proved by using the polynomial partitioning method. Both estimates are related closely to Waring's problem.
math.CA2023
A remark on the mean value inequalities related to Waring's problem
Xiaochun Li
Assuming some pointwise estimates on certain Weyl's sum, we prove the sharp estimates of the mean value associated to the following exponential sum $$ \sum_{n=1}^N e^{2πi tn^d +2πi…
math.NT2023★ 4 cited
An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem
Xiaochun Li, Xuerui Yang
Using Bombieri-Iwaniec method, we establish an improvement on both Gauss's Circle Problem and Dirichlet's Divisor Problem. More precisely, we derive a new estimate for the first sp…