DLMF:25.6.E16 (Q7653): Difference between revisions

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Property / constraint
 

n 2 𝑛 2 {\displaystyle{\displaystyle n\geq 2}}

n\geq 2
Property / constraint: n 2 𝑛 2 {\displaystyle{\displaystyle n\geq 2}} / rank
 
Normal rank

Revision as of 18:15, 30 December 2019

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DLMF:25.6.E16
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    Statements

    ( n + 1 2 ) ζ ( 2 n ) = k = 1 n - 1 ζ ( 2 k ) ζ ( 2 n - 2 k ) , 𝑛 1 2 Riemann-zeta 2 𝑛 superscript subscript 𝑘 1 𝑛 1 Riemann-zeta 2 𝑘 Riemann-zeta 2 𝑛 2 𝑘 {\displaystyle{\displaystyle\left(n+\tfrac{1}{2}\right)\zeta\left(2n\right)=% \sum_{k=1}^{n-1}\zeta\left(2k\right)\zeta\left(2n-2k\right),}}
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    DLMF:25.6.E16
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    n 2 𝑛 2 {\displaystyle{\displaystyle n\geq 2}}
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