# Twisted first moment of $GL(3)\times GL(2)$ $L$-function

Speaker: Jakob Streipel

Date: Thu, Jul 28, 2022

Conference: Moments of L-functions Workshop

Subject:

Class: Scientific

### Abstract:

We compute a first moment of $GL(3)\times GL(2)$ $L$-functions twisted by a $GL(2)$ Hecke eigenvalue at a prime. We talk about the ideas behind the proof, ways in which it can be generalised or extended, and obstacles for doing so in other directions. We also talk a bit about why such moments are interesting, briefly discussing some applications.