Chenhao Tang

activity

20242026

collaborators

4 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.NT2026

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…

math.NT2024

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias

Chen Lin, Chenhao Tang, Xuejun Guo

We study the asymptotic estimation of prime ideals that satisfy certain congruence and argument conditions in imaginary quadratic fields. We also discuss the phenomenon of Chebyshe…