Portal:Mathematics/Featured picture/2008 05

The Riemann zeta function along the critical line, all complex numbers with a real part of a half. That is, it is a graph of ${\displaystyle \Re (\zeta (it+1/2))}$ versus ${\displaystyle \Im (\zeta (it+1/2))}$ for real values of t running from 0 to 34. The first five zeros in the critical strip are clearly visible as the place where the spirals pass through the origin. The zeros of the Riemann zeta function are central to the Riemann hypothesis.