Van Allen Belts

This is a story somewhat about the machine daughter (although she would dispute the term) of Alan Turing.

Photo: Riemann zeta function *ζ*(*s*) in the complex plane. The color of a point *s* encodes the value of *ζ*(*s*): colors close to black denote values close to zero, while hue encodes the value’sargument. The white spot at *s* = 1 is the pole of the zeta function; the black spots on the negative real axis and on the critical line Re(*s*) = 1/2 are its zeros. Values with arguments close to zero including positive reals on the real half-line are presented in red.

[Related, or perhaps a clue: Bernhard Reimann made contributions to modern analytic number theory. In a short paper he investigated the Riemann zeta function and established its importance for understanding the distribution of prime numbers. He made a series of conjectures about properties of the zeta function, one of which is the well-known Riemann hypothesis.]