Nonvanishing of Dirichlet L-functions, II

Abstract

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 previous best known result of $\frac{3}{8}$.

Improved proportion of nonvanishing. Added an author