Lethbridge Number Theory and Combinatorics Seminar: Alia Hamieh

In this talk, we describe a method for studying the value-distribution of L-functions based on the Jessen-Wintner theory. This method has been explored recently by Ihara and Matsumoto for the case of logarithms and logarithmic derivatives of Dirichlet L-functions of prime conductor and by Mourtada and V.K.Murty for the case of logarithmic derivatives of Dirichlet L-functions associated with quadratic characters. We show how to extend such results to the case of cubic characters. In fact, we describe a distribution theorem for the values of the logarithms and logarithmic derivatives of a certain family of Artin L-functions associated with cubic Hecke characters. This is a joint work with Amir Akbary.