Lethbridge Number Theory and Combinatorics Seminar: Fatma Cicek

In this talk, we will study the first and second twisted moments of some Rankin-Selberg convolution L-functions of an automorphic form of prime power level. Our first moment result can be used to prove that automorphic forms of suitable weight and prime level are determined by the central values of their Rankin-Selberg L-functions for convolutions with forms of prime power level. Our second moment result provides, partially, a prime power level version of an earlier result of Kowalski, Michel and VanderKam for Rankin-Selberg convolutions of automorphic forms of prime level. This is joint work with Alia Hamieh from the UNBC.