Definition:Riemann Zeta Function/Zero/Trivial

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

 * Trivial Zeroes of Riemann Zeta Function are Even Negative Integers


 * Definition:Nontrivial Zero of Riemann Zeta Function