Moments of central values of cubic Hecke L-functions of the Gaussian field

Abstract:

 Central values of LL-functions have been investigated extensively in the literature due to significant arithmetic information carried by them. Moments of central values of LL-functions play important roles in our understanding ofthe non-vanishing problem of central values of LL-funtions. In this talk, I will present some results on the moments of central values of cubic Hecke LL-functions of the Gaussian field, which in turn imply a quantitative non-vanishing result for the LL-values. This is joint work with L. Zhao.