Nonvanishing of Dirichlet L-functions, II

Rizwanur Khan, Djordje Milićević, Hieu T. Ngo

We show that for at least $\frac{5}{13}$ of the primitive Dirichlet characters $\chi$ of large prime modulus, the central value $L(\frac{1}{2},\chi )$ does not vanish, improving on the pr…