Workshop: Short second moment bound and subconvexity for GL(3) L-functions, Keshav Aggarwal

Speaker
Keshav Aggarwal, University of Copenhagen

Abstract
We bound a short second moment average of the L-function of a GL(3) Hecke-Maass cusp form. This yields a t-aspect subconvexity bound and improves upon the earlier works. The main tools used are Duke-Friedlander-Iwaniec’s circle method, stationary phase analysis and bounds on exponential sums due to Adolphson and Sperber obtained by their extension of Dwork’s cohomology theory. This is a joint work with Wing Hong Leung and Ritabrata Munshi.