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DLMF:25.6.E10

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Formula:8340
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MaRDI QIDQ8340

  • Label: DLMF:25.6.E10


Digital Library of Mathematical Functions ID 25.6.E10

ζ ⁡ ( 4 ) = 36 17 ⁢ ∑ k = 1 ∞ 1 k 4 ⁢ ( 2 ⁢ k k ) . Riemann-zeta 4 36 17 superscript subscript 𝑘 1 1 superscript 𝑘 4 binomial 2 𝑘 𝑘 {\displaystyle{\displaystyle\zeta\left(4\right)=\frac{36}{17}\sum_{k=1}^{% \infty}\frac{1}{k^{4}\genfrac{(}{)}{0.0pt}{}{2k}{k}}.}}


Constraint(s)

Symbols List

  • ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}} : Riemann zeta function
  • ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
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This page was last edited on 28 January 2024, at 10:02.
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