Multiple zeta functions extend the classical Riemann zeta function to several complex variables by involving multiple summations with distinct exponents. These functions not only encapsulate deep ...

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 ...

Did a team of mathematicians just take a big step toward answering a 160-year-old, million-dollar question in mathematics? Maybe. The crew did solve a number of other, smaller questions in a field ...

Prime numbers, the indivisible atoms of arithmetic, seem to be strewn haphazardly along the number line, starting with 2, 3, 5, 7, 11, 13, 17 and continuing without pattern ad infinitum. But in 1859, ...

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 ...

For many years, the Riemann hypothesis has been regarded as one of the most important unsolved problems in mathematics. If it could be proved, it would go a long way towards demonstrating what ...