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 Hypothesis remains one of mathematics’ most enduring and influential conjectures, proposing that all nontrivial zeros of the Riemann zeta function lie on the critical line where the real ...

The Riemann hypothesis, first proposed by German mathematician Bernhard Riemann in 1859, is considered to be one of the hardest and most important unsolved problems of pure mathematics — the study of ...

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 ...

Numbers like pi, e and phi 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 ...

The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...

A famed mathematical enigma is once again in the spotlight. The Riemann hypothesis, posited in 1859 by German mathematician Bernhard Riemann, is one of the biggest unsolved puzzles in mathematics. The ...

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.

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 original version of this story appeared in Quanta Magazine. Sometimes mathematicians try to tackle a problem head on, and sometimes they come at it sideways. That’s especially true when the ...