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

H. M. Bui

arxiv: 1006.0930 · v2 · pith:5CDE7ES4new · submitted 2010-06-04 · 🧮 math.NT

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

H. M. Bui This is my paper

classification 🧮 math.NT

keywords dirichletassociatedcentralcharactercharactersfamilyl-functionl-functions

0 comments

read the original 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 $L(\tfrac{1}{2},\chi)\ne0$ for at least 34% of the characters in the family.

This paper has not been read by Pith yet.

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

discussion (0)