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arXiv · 1006.0930

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

H. M. Bui
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Abstract

Let $χ$ be a primitive Dirichlet character modulo $q$ and $L(s,χ)$ be the Dirichlet L-function associated to $χ$. Using a new two-piece mollifier we show that $L(\tfrac{1}{2},χ)\ne0$ for at least 34% of the characters in the family.

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H. M. Bui. 2010-10-01. Non-vanishing of Dirichlet L-functions at the central point. https://arxiv.org/abs/1006.0930

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