Conférences dans le cadre de
l’Atelier sur les fonctions L et sujets connexes
Lectures at the Workshop on Lfunctions and Related Themes
Le mercredi 15 février 2006 / Wednesday, February 15, 2006
11 h / 11:00 am
Pavillon AndréAisenstadt, Université de Montréal
2920, chemin de la Tour
Salle / Room 6214
"The mollifier method and nonvanishing results for Lfunctions"
The mollifier method originates in Selberg's celebrated result that a positive proportion of zeros of the Riemann zeta function lie on the critical line. The term was coined by Levinson in his proof that this proportion is at least a third.
Nowadays the mollifier method has been used very successfully to establish nonvanishing results for Lfunctions at special values. I will give a description of the method together with some applications.
Le vendredi 17 février 2006 / Friday, February 17, 2006
11 h / 11:00 am
Pavillon AndréAisenstadt, Université de Montréal
2920, chemin de la Tour
Salle / Room 6214
"The distribution of values of Lfunctions"
In this lecture I will discuss several questions regarding the value distribution of Lfunctions. In particular I will describe how Lfunctions can be modelled very well at the edge of the critical strip, and how this (presumably) extends to points not on the critical line. The situation on the critical line is quite different and very poorly understood, and I will describe some of the recent speculations/conjectures on this along with some partial progress.
