Zeta functions

December 1-5, 2008, Moscow, Russia

General

Announcement

Participants

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Program

Alexey Zykin
Independent University of Moscow, Russia
zykin (at) iml.univ-mrs.fr

On the Euler-Kronecker constant and limit zeta functions (with Michael Tsfasman)

In this talk we will study asymptotic properties of the Euler-Kronecker 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 L-functions are particularly useful to approach various Brauer-Siegel like asymptotic problems in the theory of global fields and varieties over them.


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