Short second moment bound and subconvexity for GL(3) L-functions

by Dr Keshav Aggarwal (Renyi Institute)

Wednesday 27 Jul 2022, 11:00 → 12:00 Asia/Kolkata

AG-77

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 Ritabrata Munshi and Wing Hong Leung.