Formula:8440

Digital Library of Mathematical Functions ID 25.15.E2

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \DirichletL@{s}{\chi}=\prod_{p}\left(1-\frac{\chi(p)}{p^{s}}\right)^{-1},}

Constraint(s)

${\displaystyle{\displaystyle\Re s>1}}$

Symbols List

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

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