DLMF:24.4.E11 (Q7424): Difference between revisions

Revision as of 01:25, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:24.4.E11	No description defined

{\displaystyle{\displaystyle\sum_{\begin{subarray}{c}k=1\\ \left(k,m\right)=1\end{subarray}}^{m}k^{n}=\frac{1}{n+1}\sum_{j=1}^{n+1}{n+1% \choose j}\*\left(\prod_{p\mathbin{|}m}(1-p^{n-j})B_{n+1-j}\right)m^{j}.}}

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DLMF:24.4.E11

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{\displaystyle{\displaystyle B_{\NVar{n}}}}

C24.S2.SS1.m1aadec

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@@ Property / Symbols used @@
+Q11109
@@ Property / Symbols used: Q11109 / rank @@
+Normal rank
@@ Property / Symbols used: Q11109 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle B_{\NVar{n}}}}$ 
\BernoullinumberB{\NVar{n}}
@@ Property / Symbols used: Q11109 / qualifier @@
+xml-id: C24.S2.SS1.m1aadec