An explicit Watson–Ichino formula with CM newforms
Volume 213 / 2024
Acta Arithmetica 213 (2024), 25-58
MSC: Primary 11F67; Secondary 11F70
DOI: 10.4064/aa230225-23-1
Published online: 26 April 2024
Abstract
We extend the work of Humphries and Khan (2020) to establish an explicit version of Watson–Ichino formula for $L(1/2,f\otimes \mathrm{ad}\,g)$, where $f$ is a Hecke–Maass form and $g$ is a CM newform.