%0 Journal Article
%T Asymptotic properties of Dedekind zeta functions in families of number fields
%A Alexey Zykin
%J Mathematics
%D 2009
%I arXiv
%X The main goal of this paper is to prove a formula that expresses the limit behaviour of Dedekind zeta functions for $\Re s > 1/2$ in families of number fields, assuming that the Generalized Riemann Hypothesis holds. This result can be viewed as a generalization of the Brauer--Siegel theorem. As an application we obtain a limit formula for Euler--Kronecker constants in families of number fields.
%U http://arxiv.org/abs/0912.0441v1