Non-vanishing of Dirichlet L-functions at the central point

Abstract

Let $\chi$ be a primitive Dirichlet character modulo $q$ and $L(s,\chi )$ be the Dirichlet L-function associated to $\chi$. Using a new two-piece mollifier we show that $L(\frac{1}{2},\chi )\ne 0$ for at least 34% of the characters in the family.

19 pages

References in corpus (1)

• Applications of the L-functions ratios conjectures