Zeta functions

December 1-5, 2008, Moscow, Russia




Practical details


Michael Tsfasman
Poncelet Laboratory, Moscow, Russia
mtsfasman (at) yandex.ru

On the Euler-Kronecker constant and limit zeta functions (with Alexey Zykin)

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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