3 papers
math.NT2026
A GL(3) converse theorem via a "beyond endoscopy" approach
Valentin Blomer, Wing Hong Leung
We give a new proof of the converse theorem for Maass forms on using a technique that is inspired by Langlands' philosophy of "beyond endoscopy", thereby implementing…
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 -function of a holomorphic cusp form with level and nebentypus. We use Petersson's formula…