C. Kwan

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20242026

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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 $χ (mod p)$ , and let $g$ be a fixed cusp form or Eisenstein series for $SL_{2} (Z)$ . We prov…

math.NT2024

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

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…

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

Trace formula and functional equation

Character sum, reciprocity and Voronoi formula

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