Formula:8442

Digital Library of Mathematical Functions ID 25.15.E4

${\displaystyle{\displaystyle L\left(s,\chi\right)=L\left(s,\chi_{0}\right)\prod_{p\mathbin{|}k}\left(1-\frac{\chi_{0}(p)}{p^{s}}\right),}}$

Symbols List

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

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