For example, the Riemann zeta-function – the granddaddy of all L-functions – is a first-degree algebraic L-function which holds the secret to how the prime numbers are distributed. What Bian has found ...

Automorphic forms are highly symmetric functions on arithmetic quotients of Lie groups that generalise classical modular forms and encode deep number-theoretic and representation-theoretic information ...

Exponential sums appear in the study of algebraic varieties over finite fields through sums of additive or multiplicative characters evaluated at polynomial functions. L-functions encapsulate ...

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 ...

A new mathematical object has been discovered by Ce Bian, a maths student at the University of Bristol. The news caused great excitement when it was announced at a workshop organised by the American ...