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DLMF:25.6.E7
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Formula:8337
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MaRDI QID
Q8337
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
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