Automorphic L-functions lie at the confluence of number theory, harmonic analysis and representation theory. These functions generalise the classical Riemann zeta function and are constructed from ...

A new mathematical object, long know to exist but never seen, had its first sighting yesterday. Two researchers have exhibited the first example of a third degree transcendental L-function. These ...

American Journal of Mathematics, Vol. 138, No. 3 (June 2016), pp. 821-878 (58 pages) Let f be a modular form of weight k and Nebentypus ψ. By generalizing a construction of Dabrowski and Delbourgo, we ...

A new magnum opus posits the existence of a hidden mathematical link akin to the connection between electricity and magnetism. In 2018, as he prepared to be awarded the Fields Medal, math’s highest ...