Asymptotic properties of Dedekind zeta functions in families of number fields

Alexey Zykin

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arXiv · 0912.0441

Asymptotic properties of Dedekind zeta functions in families of number fields

Alexey Zykin

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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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Alexey Zykin. 2009-12-02. Asymptotic properties of Dedekind zeta functions in families of number fields. https://arxiv.org/abs/0912.0441

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