ζ(s) in the complex plane — zeros, critical line, functional equation
The Riemann Hypothesis: all non-trivial zeros of ζ(s) lie on the critical line Re(s)=½.
First zeros: t ≈ 14.135, 21.022, 25.011, 30.425, 32.935…
Domain coloring: hue = arg(ζ(s)), brightness = |ζ(s)|. Zeros appear as rainbow pinwheels.