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 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 Zeta-Function of Riemann. Prof. E. C. Titchmarsh. (Cambridge Tracts in Mathematics and Mathematical Physics, No. 26.) Pp. vi + 104. (Cambridge: At the University ...

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 ...

It was a good week for physics research as a team from Virginia Tech made a heat discovery that expanded on an 18th-century principle involving ice placed on a hot surface—Jonathan Boreyko and Mojtaba ...

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 ...

Yitang Zhang, a number theorist at the University of California, Santa Barbara, has posted a paper on arXiv that hints at the possibility that he may have solved the Landau-Siegel zeros conjecture.

If two physicists are right, a single electron might know more about numbers than all of the world’s mathematicians. In an upcoming Physical Review Letters, the researchers hint that the dynamics of ...

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 ...