Zeta functionsDecember 15, 2008, Moscow, Russia 

Michael Tsfasman Poncelet Laboratory, Moscow, Russia mtsfasman (at) yandex.ru On the EulerKronecker constant and limit zeta functions (with Alexey Zykin)In this talk we will study asymptotic properties of the EulerKronecker constant in towers of number fields. Assuming GRH, we prove in the number field case the analogues of the results obtained by Ihara in the function field case. The techniques of limit zeta functions turns out to be useful. Furthermore, we will try to show that limit zeta and Lfunctions are particularly useful to approach various BrauerSiegel like asymptotic problems in the theory of global fields and varieties over them. Go to the Laboratoire Poncelet home page. 

