Zeta Function Hats
Description: Rendered on a deep dark background, this artwork presents the complex plane with the critical strip, the critical line Re(s) = ½ and the first nontrivial zeros of the zeta function, above ζ(s) = Σ 1/nˢ. In 1859 Bernhard Riemann conjectured that all nontrivial zeros of the zeta function lie on the line Re(s) = ½. The Riemann hypothesis, linked to the distribution of prime numbers, is still unproven today. Made for math teachers, mathematicians and students who love an elegant proof, it brings classic mathematics to a classroom, study or home office.
Riemann Hypothesis, the Zeta Function and the Critical Line in the Complex Plane Hat
by Science Design
$12 $19
Description: A mathematical equation presented in white text on a black background. The equation features a definite integral from infinity to 0 of a fraction: 0 times x to the power of s-1 times limit over the square root of e to the power of x minus 1 plus dx. This is equated to zeta(s) multiplied by Gamma(s).