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DLMF:25.6.E7

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Formula:8337
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MaRDI QIDQ8337

  • Label: DLMF:25.6.E7


Digital Library of Mathematical Functions ID 25.6.E7

ζ ⁡ ( 2 ) = ∫ 0 1 ∫ 0 1 1 1 - x ⁢ y ⁢ d x ⁢ d y . Riemann-zeta 2 superscript subscript 0 1 superscript subscript 0 1 1 1 𝑥 𝑦 𝑥 𝑦 {\displaystyle{\displaystyle\zeta\left(2\right)=\int_{0}^{1}\int_{0}^{1}\frac{% 1}{1-xy}\mathrm{d}x\mathrm{d}y.}}


Constraint(s)

Symbols List

  • ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}} : Riemann zeta function
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 11:02.
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