Chenhao Tang

collaborators

3 papers

math.NT2026

Matrix Kloosterman sums and product-trace estimates for semisimple algebras

Xuejun Guo, Chen Lin, Chenhao Tang

Let $k = F_{q}$ , $E = F_{q^{n}}$ and $Tr = Tr_{E / k}$ . For $r \geq 2$ , $a \in k^{\times}$ and $x \in E^{\times}$ , let $N (E, r, x, a)$ be the number of $r…

math.NT2025

Prime Geodesic Theorem for Arithmetic Compact Surfaces: Principal Congruence Case

Chenhao Tang, Han Wu, Jie Yang +1

We generalize Koyama's $7/10$ bound of the error term in the prime geodesic theorems to the principal congruence subgroups for quaternion algebras. Our method avoids the spectral s…

math.RT2025

Godement--Jacquet L-function and homological theta lifting

Rui Chen, Yufeng Li, Xiaohuan Long +2

In this paper we investigate the theta lifting of type II dual pairs over a non-Archimedean local field, by combining the homological method of Adams--Prasad--Savin and the analyti…