Waldspurger's period integral for newforms
Volume 195 / 2020
Acta Arithmetica 195 (2020), 177-197
MSC: Primary 11F70.
DOI: 10.4064/aa190212-3-10
Published online: 13 May 2020
Abstract
We discuss Waldspurger’s local period integral for newforms in new cases. The main tool is the work of Hu and Nelson (2018) on Waldspurger’s period integral using minimal vectors, and the explicit relation between newforms and minimal vectors. We use a representation-theoretical trick to simplify computations for newforms. As an example, we compute the local integral coming from a special arithmetic setting which was used to study the 3-part full BSD conjecture by Hu et al. (2019).
