Critical Line

The Line $\Re(s)=1/2$ in the Complex Plane on which the Riemann Hypothesis asserts that all nontrivial (Complex) Roots of the Riemann Zeta Function $\zeta(s)$ lie. Although it is known that an Infinite number of zeros lie on the critical line and that these comprise at least 40% of all zeros, the Riemann Hypothesis is still unproven.

See also Riemann Hypothesis, Riemann Zeta Function

References

Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 142, 1991.