3 citations · 6 across the 8 of their papers we have counts for
7 papers
Two bipolynomial Roth theorems in
Xuezhi Chen, Jingwei Guo, Xiaochun Li
We give two Roth theorems, related to the nonlinear configuration , , involving two polynomials, for sets in of positive density and of fractio…
A note on the Weyl formula for balls in
Jingwei Guo
Let () be a ball. We consider the Dirichlet Laplacian associated with and prove that its eigenvalue counting func…
The Weyl formula for planar annuli
Jingwei Guo, Wolfgang Müller, Weiwei Wang +1
We study the zeros of cross-product of Bessel functions and obtain their approximations, based on which we reduce the eigenvalue counting problem for the Dirichlet Laplacian associ…
Lattice points in model domains of finite type in , II
Jingwei Guo, Tao Jiang
We study the lattice point problem associated with a special class of high-dimensional finite type domains via estimating the Fourier transforms of corresponding indicator function…
An improved remainder estimate in the Weyl formula for the planar disk
Jingwei Guo, Weiwei Wang, Zuoqin Wang
In \cite{colin}, Y. Colin de Verdière proved that the remainder term in the two-term Weyl formula for the eigenvalue counting function for the Dirichlet Laplacian associated with t…
Lattice points in rotated convex domains
Jingwei Guo
If () is a compact convex domain with a smooth boundary of finite type, we prove that for almost every rotation the rem…