Asymptotic properties of Dedekind zeta functions in families of number fields

Details Asymptotic properties of Dedekind zeta functions in families of number fields Asymptotic properties of Dedekind zeta functions in families of number fields

2009-12-02

arxiv.org/abs/0912.0441v1

Mathematics

Number Theory

Scientific paper

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.

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