Jingwei Guo

collaborators

2 papers

math.NT2026

A multidimensional SzemerÃ©di theorem in integers

Jingwei Guo, Changxing Miao, Guoqing Zhan

For any integer $n \geq 2$ , let $(m_{1}, \dots, m_{n})$ be a strictly increasing $n$ -tuple of positive integers. We show that any subset $A \subset [N]^{n}$ of density at least $(\log…

math.CA2025

Improvement of PÃ³lya's conjecture for balls and cylinders

Jingwei Guo, Changxing Miao, Weiwei Wang +1

PÃ³lya's conjecture on the eigenvalues of the Laplacian has been one of the core problems in spectral geometry. Building upon the recent breakthrough works on PÃ³lya's conjecture f…