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DLMF:25.6.E3

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Formula:8333
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MaRDI QIDQ8333

  • Label: DLMF:25.6.E3


Digital Library of Mathematical Functions ID 25.6.E3

ζ ⁡ ( - n ) = - B n + 1 n + 1 , Riemann-zeta 𝑛 Bernoulli-number-B 𝑛 1 𝑛 1 {\displaystyle{\displaystyle\zeta\left(-n\right)=-\frac{B_{n+1}}{n+1},}}


Constraint(s)

n = 1 , 2 , 3 , … 𝑛 1 2 3 … {\displaystyle{\displaystyle n=1,2,3,\dots}}

Symbols List

  • B n Bernoulli-number-B 𝑛 {\displaystyle{\displaystyle B_{\NVar{n}}}} :
  • ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}} : Riemann zeta function
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  •  Edit this on Wikidata

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