Title: Subconvexity over the Gaussian field

Speaker: Zhi QI,Zhejiang University

Time/Venue: 14:00-15:00, 9 NOV., B1044

Abstract: In this talk, I will discuss how to extend the subconvexity result of Blomer on twisted L-functions on GL(3) from Q to Q(i). For this, we need to analyze Bessel functions for GL(2) and GL(3) over C. Similar as Blomer's work, our main tools are the Kuznetsov trace formula for GL(2) and the Voronoi summation formula for GL(3) over Q(i).