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
- 1983: François Le Lionnais and Jean Brette: Les Nombres Remarquables ... (previous) ... (next): $0,5$
- Weisstein, Eric W. "Riemann Zeta Function Zeros." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RiemannZetaFunctionZeros.html