C. Kwan

activity

20242026

collaborators

5 papers

math.NT2026

Critical Zeros and Unconditional Mean Value Theorems for twisted $PGL (2)$ and $PGL (3)$ $L$ -functions

Brian Conrey, Chung-Hang Kwan, Yongxiao Lin +1

Let $I^_{0}$ be a cuspidal automorphic representation of $PGL_{3} (A_{Q})$ . In this paper, we use Levinson's method to prove that, as $Q \to \infty$ , at le…

math.NT2025

Short mollifiers of the Riemann zeta-function

J. Brian Conrey, David W. Farmer, Chung-Hang Kwan +2

We apply the calculus of variations to construct a new sequence of linear combinations of derivatives of the Riemann $I^¶$ -function adapted to Levinson's method, which yield a posit…

math.NT2025

Character sum, reciprocity and Voronoi formula

Chung-Hang Kwan, Wing Hong Leung

We prove a novel four-variable character sum identity which serves as a twisted, non-archimedean counterpart to Weber's integrals for Bessel functions. Using this identity and idea…

math.NT2025

Trace formula and functional equation

Chung-Hang Kwan, Wing Hong Leung

We present a "beyond-endoscopic" treatment of the functional equation for the standard $L$ -function of a holomorphic cusp form with level and nebentypus. We use Petersson's formula…

math.NT2024

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions

Keshav Aggarwal, Sumit Kumar, Chung-Hang Kwan +3

Let $f$ be a newform of prime level $p$ with any central character $I ¨ (mod p)$ , and let $g$ be a fixed cusp form or Eisenstein series for $SL_{2} (Z)$ . We pro…

Critical Zeros and Unconditional Mean Value Theorems for twisted PGL(2) and PGL(3) L-functions

Short mollifiers of the Riemann zeta-function

Character sum, reciprocity and Voronoi formula

Trace formula and functional equation

Level aspect subconvexity for GL(2)×GL(2) L-functions

Critical Zeros and Unconditional Mean Value Theorems for twisted $PGL (2)$ and $PGL (3)$ $L$ -functions

Level aspect subconvexity for $GL(2) \times GL(2)$ $L$ -functions