Category:Product Equation for Riemann Zeta Function

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This category contains pages concerning Product Equation for Riemann Zeta Function:


There exists a constant $B$ such that:

$\ds \frac {\map {\zeta'} s} {\map \zeta s} = B - \frac 1 {s - 1} + \frac 1 2 \ln \pi - \frac 1 2 \frac {\map {\Gamma'} {s / 2 + 1} } {\map \Gamma {s / 2 + 1} } + \sum_\rho \paren {\frac 1 {s - \rho} + \frac 1 \rho}$

where:

$\zeta$ is the Riemann zeta function
$\rho$ runs over the nontrivial zeros of $\zeta$
$\Gamma$ is the gamma function.

Pages in category "Product Equation for Riemann Zeta Function"

The following 2 pages are in this category, out of 2 total.