Asymptotic Properties of Dedekind Zeta Functions in Families of Number Fields
نویسنده
چکیده
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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تاریخ انتشار 2009