Moments and periods for GL(3)
Speaker: Chung-Hang Kwan
Date: Thu, Jul 28, 2022
Location: PIMS, University of Northern British Columbia
Conference: Moments of L-functions Workshop
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-functions and Number Theory
Date: Thu, Jul 28, 2022
Location: PIMS, University of Northern British Columbia
Conference: Moments of L-functions Workshop
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-functions and Number Theory
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.
