Number Theory Seminar

Dimitris Koukoulopoulos, Université de Montréal

"Pretentious methods for L-functions"

I will discuss ongoing work with K. Soundararajan on proving general prime number theorems that extend classical results for L-functions. Our main theorem gives a classification of those multiplicative functions whose partial sums present significant cancellation. As a byproduct of our methods, a new proof of the classical zero-free regions for L-functions is obtained via sieve theory.

MC 5501