Asymptotic properties of Dedekind zeta functions in families of number fields

2009/12/02 by Zykin, Alexey
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.0912.0441

Abstract

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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