The Weil Conjectures: A tale of mathematics, philosophy, and art

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

For some, mathematics much more than a matter of solving problems. It transcends abstraction and intellectual pursuit into a way of determining meaning from life. For a brother and sister, it can mean a relentless search for truth that reads like a Romantic fable. A history that consists of settings across time and space punctuated by individual actions and events, the novelist…