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 ...