The Riemann Hypothesis, a central unsolved problem in mathematics, posits that all non-trivial zeros of the Riemann zeta function lie on the critical line in the complex plane. This conjecture is not ...

Many ways to approach the Riemann Hypothesis have been proposed during the past 150 years, but none of them have led to conquering the most famous open problem in mathematics. A new paper in the ...

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 ...

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 ...

A mystery of mathematics that has remained unsolved for more than 150 years can be unraveled thanks to a completely unexpected approach coming from statistical physics. This is the important ...

A review of Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics, by John Derbyshire. With the proof of Fermat’s Last Theorem in 1994, Derbyshire says, “the Riemann ...

Over the past few days, the mathematics world has been abuzz over the news that Sir Michael Atiyah, the famous Fields Medalist and Abel Prize winner, claims to have solved the Riemann hypothesis. If ...

In the article, Giuseppe Mussardo and Andrè Leclair showed that there is instead an elegant explanation of the alignment of zeros along the ½ axis of the Riemann function (as well as of infinite ...