Riemann Hypothesis

The Riemann Hypothesis is that all non-trivial zeros of the Riemann Zeta Function {ζ(s)} lie on the critical line: 1/2 + it, where t is a real number and i is the imaginary unit. This may mean nothing to you if you are uninvolved in the world of number theory, but, at the core of all the great wonders of technology that you enjoy daily, it is there, staring out at you.

Quotes

 * "The Riemann Hypothesis is the most basic connection between addition and multiplication that there is, so I think of it in the simplest terms as something really basic that we don't understand about the link between addition and multiplication." &mdash; Brian Conrey

Resources

 * Win a million dollars with maths, No. 1: The Riemann Hypothesis (Matt Parker, The Guardian; Nov. 3, 2010)
 * "Millennium Prize: the Riemann Hypothesis" (Ole Warnaar and Wadim Zudilin, theconversation.edu.au; Dec. 7, 2011)
 * "What is the Riemann Hypothesis? Why is it so important?" (askamathematician.com; Dec. 17, 2011)