On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters

Adrian Diaconu, Bogdan Ion, Vicenţiu Paşol +1

In this paper, we establish asymptotic formulas for the first and second twisted moments of $r$-th order Hecke $L$-functions over global fields that contain the $2r$-th roots of un…