Lower bounds for moments of quadratic twisted self-dual $\text{GL}(3)$ central $L$-values

Abstract

In this paper, we prove the conjectured order lower bound for the $k$-th moment of central values of quadratic twisted self-dual $\text{GL}(3)$ $L$-functions for all $k\ge 1$, based on our recent work on the twisted first moment of central values in this family of $L$-functions.

11 pages, accepted in Acta Math. Sin. (Engl. Ser.)

References in corpus (1)

• Determination of $\text{GL}(3)$ cusp forms by central values of quadratic twisted $L$-functions

Cited by in corpus (1)

• Extreme central values of quadratic Dirichlet $L$-functions with prime conductors