Formula:8448

Digital Library of Mathematical Functions ID 25.15.E10

${\displaystyle{\displaystyle L\left(0,\chi\right)=\begin{cases}\displaystyle-\frac{1}{k}\sum_{r=1}^{k}r\chi(r),&\chi\neq\chi_{1},\\ 0,&\chi=\chi_{1}.\end{cases}}}$

Symbols List

• ${\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}$: Dirichlet $$L$$ -function
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle\chi(n)}}$: Dirichlet character
 

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