11 citations · 17 across the 11 of their papers we have counts for
5 papers · 1 filter
Level aspect subconvexity for -functions
Keshav Aggarwal, Sumit Kumar, Chung-Hang Kwan +3
Let be a newform of prime level with any central character , and let be a fixed cusp form or Eisenstein series for . We prov…
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…
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…
The second moment of the standard -function on the critical line
Agniva Dasgupta, Wing Hong Leung, Matthew P. Young
We obtain a strong bound on the second moment of the standard -function on the critical line. The method builds on the recent work of Aggarwal, Leung, and Munshi which tr…
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…