Speaker: Subhajit Jana
Date: July 20, 2023
Affiliation: Queen Mary University of London

Abstract: Asymptotic evaluation of higher moments of higher degree $L$-values is an interesting problem and has significant potential applications to many questions in automorphic forms and number theory. In this talk, I will discuss a few novel instances of such higher-moment evaluation of the standard L-functions for GL$(n)$ over an interesting family of automorphic representations. Additionally, I will explore the concept of analytic newvectors, which serves as a valuable tool for effectively managing and analyzing these moments.