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 ...

The extremal analysis of L-functions and zeta functions illuminates the boundary behaviour of these complex-valued analytic objects when their arguments approach regions of critical significance.

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 ...