DLMF:25.11.E36 (Q7710): Difference between revisions

Revision as of 13:45, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:25.11.E36	No description defined

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

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DLMF:25.11.E36

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

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

C25.S15.E1.m2adec

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@@ Property / Symbols used @@
+Dirichlet $$L$$ -function
@@ Property / Symbols used: Dirichlet $$L$$ -function / rank @@
+Normal rank
@@ Property / Symbols used: Dirichlet $$L$$ -function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle L\left(\NVar{s},\NVar{\chi}\right)}}$ 
\DirichletL@{\NVar{s}}{\NVar{\chi}}
@@ Property / Symbols used: Dirichlet $$L$$ -function / qualifier @@
+xml-id: C25.S15.E1.m2adec