Mollified moments of quadratic $L$-functions over function fields

Moments of quadratic Dirichlet $L$-functions over Function Fields

“…Their result also implies that L(1/2, χ P ) = 0 for any prime P ∈ P 2g+1,q . In [4], J. C. Andrade and C. G. Best showed that for 100% members of D ∈ H 2g+1,q , L(1/2, χ D ) = 0.…”