Abstract
Now that Andrew Wiles has proved the Taniyama-Shimura conjecture, inter alia proving Fermat's last theorem, and Grigory Perelman has proved the Poincare conjecture in three dimensions, thus completing the earlier work of Steve Smale (who proved the generalized Poincare conjecture in all dimensions greater than or equal to five) and Michael Freedman (who proved the generalized Poincare conjecture in four dimensions), the Riemann hypothesis is perhaps the most famous open problem in mathematics. This hypothesis is contained in Riemann's presentation upon being elected to the Berlin Academy in 1859. Like many fascinating problems in mathematics, the hypothesis can be stated very simply.
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