The fourth moment of quadratic Hecke $L$-functions in $\mathbb{Q}(i)$

Abstract: In this talk, we study the fourth moment of central values of quadratic Hecke $L$-functions in the Gaussian field. We show an asymptotic formula valid under the generalized Riemann hypothesis (GRH). We also present precise lower bounds unconditionally and upper bounds under GRH for higher moments of the same family.

number theoryrepresentation theory

Audience: researchers in the topic

SJTU number theory seminar