Formula:DLMF:25.6:E11

<< Formula:DLMF:25.6:E10

formula in Integer Arguments

Formula:DLMF:25.6:E12 >>

${\displaystyle{\displaystyle{\displaystyle\RiemannZeta^{\prime}@{0}=-\tfrac{1}{2}\ln\left(2\pi\right)}}}$

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

Symbols List

${\displaystyle{\displaystyle{\displaystyle\zeta}}}$ : Riemann zeta function : http://dlmf.nist.gov/25.2#E1
${\displaystyle{\displaystyle{\displaystyle\mathrm{ln}}}}$ : principal branch of logarithm function : http://dlmf.nist.gov/4.2#E2

Bibliography

Equation (11), Section 25.6 of DLMF.

URL links

We ask users to provide relevant URL links in this space.

<< Formula:DLMF:25.6:E10

formula in Integer Arguments

Formula:DLMF:25.6:E12 >>