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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.




© 1996-9 Eric W. Weisstein
1999-05-25