The Distribution of Values of $\frac{L^{\prime }}{L}(1/2+\epsilon ,{\chi }_D)$

Alia Hamieh, Rory McClenagan

We determine the limiting distribution of the family of values $\frac{L^{\prime }}{L}(1/2+\epsilon ,{\chi }_D)$ as $D$ varies over fundamental discriminants. Here, $0<\epsilon <\frac{1}{2}$, and ${\chi }_D$ is the real ch…