Riemann Zeta Zeros

The Riemann Hypothesis conjectures all non-trivial zeros of ζ(s) lie on the critical line Re(s)=1/2. This visualizes ζ(1/2+it) as a curve in the complex plane — zeros appear when the curve passes through the origin.

Controls

t range start 0

t range width 30

Resolution 500 pts

ζ(s) = Σ n^{-s}, Re(s)>1
Analytic continuation elsewhere

Critical line: s = 1/2 + it
RH: all zeros here (unproven)

Known zeros (imaginary parts)