The Belts

Adven Turing
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.]

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