DLMF:25.15.E3 (Q7748)

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Language	Label	Description	Also known as
English	DLMF:25.15.E3	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle L\left(s,\chi\right)=k^{-s}\sum_{r=1}^{k-1}\chi(r% )\zeta\left(s,\frac{r}{k}\right),}}

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DLMF:25.15.E3

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Dirichlet $$L$$ -function

Defining formula

{\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}

C25.S15.E1.m2abdec

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Hurwitz zeta function

Defining formula

{\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}

C25.S11.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle k}}

C25.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle s}}

C25.S1.XMD7.m1bdec

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Defining formula

{\displaystyle{\displaystyle\chi(n)}}

C25.S15.XMD1.m1bdec

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Sitelinks

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