# Non-vanishing of Dirichlet L-functions at the central point - Mathematics > Number Theory

Abstract: Let $\chi$ be a primitive Dirichlet character modulo $q$ and $Ls,\chi$ bethe Dirichlet L-function associated to $\chi$. Using a new two-piece mollifierwe show that $L\tfrac{1}{2},\chi e0$ for at least 34% of the characters inthe family.

Author: H. M. Bui

Source: https://arxiv.org/