Moments and Periods for $GL(3)$

Abstract: In the past century, the studies of moments of $L$-functions have been important in number theory and are well-motivated by a variety of arithmetic applications.

This talk will begin with two problems in elementary number theory, followed by a survey of techniques in the past and the present. We will slowly move towards the perspectives of period integrals which will be used to illustrate the interesting structures behind moments. In particular, we shall focus on the “Motohashi phenomena”.

Mathematics

Audience: researchers in the topic

CRG Weekly Seminars

Series comments: These seminars will be centered on various topics in L-functions in analytic number theory. If you are interested, please register here to receive the Zoom link: uleth.zoom.us/meeting/register/tJ0ucO-spjkvEtGdqQv0rwzSYNjWjYBohVTu