Definition:Riemann Zeta Function/Zero/Trivial

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Definition

The trivial zeroes of the Riemann zeta function $\zeta$ are the strictly negative even integers :

$\set {n \in \Z: n = -2 \times k: k \in \N_{\ne 0} } = \set {-2, -4, -6, \ldots}$


Also see


Sources