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 ...

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 ...

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 ...

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 ...

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 ...

A solution to the greatest unresolved problem in pure mathematics – Riemann's hypothesis – could be coming closer, thanks to a remarkable international collaboration involving mathematicians from the ...

The Hausdorff $h - m$ measure of the graph of a Riemann integrable function is shown to be finite provided $h$ satisfies an inequality related to the rate of ...

This is a preview. Log in through your library . Abstract We prove that given any meromorphic function $f$ on a compact Riemann surface $M'$ there exists another ...

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 ...