The Riemann Hypothesis
The Riemann hypothesis is that all nontrivial zeros of the analytical continuation of the Riemann zeta function have a real part of 1/2. A proof or disproof of this would have far-reaching implications in number theory, especially for the distribution of prime numbers. This was Hilbert's eighth problem, and is still considered an important open problem a century later.
The official statement of the problem was given by Enrico Bombieri.
Read more about this topic: Millennium Prize Problems
Famous quotes containing the word hypothesis:
“It is an hypothesis that the sun will rise tomorrow: and this means that we do not know whether it will rise.”
—Ludwig Wittgenstein (1889–1951)