A visualization of the Riemann zeta function partial sums, highlighting the symmetry between the first several "random walk" partial sums and the congruent clusters at the end.
Press a to see the partial sums across multiple Re(s) values simultaneously, showing how line segments parallel to the real axis (with constant imaginary part) map through the zeta function.
a (Real part): Controls the real component of s. The critical line is at a=0.5.
b (Imaginary part): Controls the imaginary component of s. This is animated by default.
Multi-a mode: Shows partial sums across multiple real values simultaneously.
This visualization shows partial sums of the Riemann zeta function. The spiral patterns emerge from the complex exponential terms in the sum.