Riemann zeta function

The Riemann Hypothesis is probably the hardest unsolved problem in all of mathematics, and one of the most important. It has to do with prime numbers - the building blocks of arithmetic. Nick Mee, together with Sir Arthur C. Clarke, tells us about the patterns hiding inside numbers.

Tags: prime number : cryptography : number theory : Riemann Hypothesis : prime number distribution : Arthur C Clarke : Fundamental theorem of arithmetic : zeta function : Riemann zeta function : prime number spiral

Following on from his article 'The prime number lottery' in last issue of Plus, Marcus du Sautoy continues his exploration of the greatest unsolved problem of mathematics: The Riemann Hypothesis.

Tags: prime number : mathematics and music : hilbert problems : Riemann Hypothesis : Riemann zeta function : logarithmic integral : harmonic : imaginary number

The first third degree transcendental L-function

Tags: prime number : Riemann Hypothesis : Riemann zeta function