2 papers
math.NT2026
The cubic moment of -functions for specified local component families
Yueke Hu, Ian Petrow, Matthew P. Young
We prove Lindelöf-on-average upper bounds on the cubic moment of central values of -functions over certain families of automorphic representat…
math.NT2026
A generalized PGL(2) Petersson/Bruggeman-Kuznetsov formula for analytic applications
Yueke Hu, Ian Petrow, Matthew P. Young
We develop generalized Petersson/Bruggeman-Kuznetsov (PBK) formulas for specified local components at non-archimedean places. In fact, we introduce two hypotheses on non-archimedea…