This week's seminars
Arithmetic Study Group: Converse theorems and zeros of automorphic L-functions
12 February 2019 14:00 in CM301
It is generally believed that the non-trivial zeros of automorphic L-functions are different for non-isomorphic cuspidal representations. We will verify some consequences of this claim using a characterisation of Maass forms on GL(2). Our proof uses hypergeometric functions and geometry of the hyperbolic plane. This is joint work with Michalis Neururer.