# Moments and periods for $GL(3)$

Speaker: Chung-Hang Kwan

Date: Thu, Jul 28, 2022

Conference: Moments of L-functions Workshop

Subject:

Class: Scientific

### Abstract:

The celebrated Motohashi phenomenon concerns the duality between the fourth moment of the Riemann zeta function and the cubic moment of automorphic $L$-functions of $GL(2)$. Apart from its structural elegance, such a duality plays a very important role in various moment problems. In this talk, we will discuss the generalized Motohashi phenomena for the group $GL(3)$ through the lenses of period integrals and the method of unfolding. As a consequence, the Kuznetsov and the Voronoi formulae are not needed in our argument.