Lethbridge Number Theory and Combinatorics Seminar: Amir Akbary

We describe a theorem of M. Mourtada and V. Kumar Murty on the distribution of values of the logarithmic derivative of the L-functions attached to quadratic characters. Under the assumption of the generalized Riemann Hypothesis they prove the existence of a density function that gives the distribution of values of the logarithmic derivative of such L-functions at a fixed real point greater than 1/2. Following classical results of Wintner, we also describe how this distribution can be described as an infinite convolution of local distributions.