Prime numbers are sometimes called math’s “atoms” because they can be divided by only themselves and 1. For two millennia, ...

The Riemann zeta function, a central object in analytic number theory, has long intrigued mathematicians and physicists alike. Its non-trivial zeros not only encapsulate the distribution of prime ...

Forbes contributors publish independent expert analyses and insights. So what? Riemann was interested in the distribution of prime numbers and he discovered a formula for the number of primes less ...

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 ...

Prime numbers are maddeningly capricious. They clump together like buddies on some regions of the number line, but in other areas, nary a prime can be found. So number theorists can’t even roughly ...

In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. An unsolved 160-year-old math problem may finally have a solution — but critics are wary. Michael ...

This is a preview. Log in through your library . Abstract Very extensive computations are reported which extend and, partly, check previous computations concerning the location of the complex zeros of ...

The Riemann hypothesis is equivalent to the Li criterion governing a sequence of real constants $\{\lambda _{k}\}_{k=1}^{\infty}$ that are certain logarithmic derivatives of the Riemann xi function ...