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DLMF:25.6.E11
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Formula:8341
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MaRDI QID
Q8341
Label: DLMF:25.6.E11
Digital Library of Mathematical Functions ID
25.6.E11
ζ
′
(
0
)
=
-
1
2
ln
(
2
π
)
.
diffop
Riemann-zeta
1
0
1
2
2
𝜋
{\displaystyle{\displaystyle\zeta'\left(0\right)=-\tfrac{1}{2}\ln\left(2\pi% \right).}}
Constraint(s)
Symbols List
ζ
(
s
)
Riemann-zeta
𝑠
{\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}
: Riemann zeta function
π
{\displaystyle{\displaystyle\pi}}
: the ratio of the circumference of a circle to its diameter
ln
z
𝑧
{\displaystyle{\displaystyle\ln\NVar{z}}}
: principal branch of logarithm function
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