Number Theory Seminar

Speaker: Keshav Aggarwal (Renyi Institute)

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

Abstract: We bound a short second moment average of GL(3) and GL(3) x  GL(1) L-functions. These yield t-aspect and depth aspect subconvexity  bounds respectively, and improve upon the earlier subconvexity  exponents. This moment estimate provides an analogue for cusp forms of  Ivic's bound for the sixth moment of the zeta function, and is the first  time a short second moment has been used to obtain a subconvex bound in  higher rank. This is a joint work with Ritabrata Munshi and Wing Hong  Leung.

The talk will take place on Zoom. If you are interested in attending and not on the Number Theory Seminar mailing list, please contact the organizer to obtain the link