The Riemann hypothesis may hold the answer to the distribution of the primes, the only problem is, no-one has yet been able ...

The seemingly random distribution of prime numbers has confounded some of the best mathematical minds for centuries. But the ...

I. We are starting to close in on the Riemann Hypothesis. Let me state it again, just as a refresher. All non-trivial zeros of the zeta function have real part one-half. Well, we’ve got a handle on ...

Analytic number theory continues to serve as a cornerstone of modern mathematics through its probing study of zeta functions and their applications. At the heart of this discipline is the classical ...

Numbers like π, e and φ often turn up in unexpected places in science and mathematics. Pascal’s triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there’s the ...