\begin{definition}[Definition:Riemann Zeta Function/Zero/Trivial]
The '''trivial zeroes''' of the Riemann zeta function $\zeta$ are the strictly negative even integers :
:$\set {n \in \Z: n = -2 \times k: k \in \N_{\ne 0} } = \set {-2, -4, -6, \ldots}$
\end{definition}