16:640:573 Selected Topics in Number Theory

Fall 2020

Henryk Iwaniec


Statistic of L-functions and their zeros

Course Description:

This will be about recent developments in the analytic theory of L-functions which is modeled on the Random MatrixTheory. Some basic results on the distribution of zeros and estimates for the moments of central values will be presented in detail. However a significant part of the material will be dealing with conjectures which only recently emerged from ideas of RMT.


Recent Perspectives in Random Matrix Theory and Number Theory, LMS Lecture Notes Series 322, Cambridge University Press


Fascination with the Riemann Hypothesis