The Brauer-Siegel and Tsfasman-Vladut Theorems for Almost Normal Extensions of Number Fields

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dc.creatorZykin, Alexey
dc.date2004-11-04
dc.date.accessioned2026-07-07T05:13:59Z
dc.date.available2026-07-07T05:13:59Z
dc.descriptionThe classical Brauer-Siegel theorem states that if $k$ runs through the sequence of normal extensions of $\mathbb{Q}$ such that $n_k/\log|D_k|\to 0,$ then $\log h_k R_k/\log \sqrt{|D_k|}\to 1.$ First, in this paper we obtain the generalization of the Brauer-Siegel and Tsfasman-Vlăduţ theorems to the case of almost normal number fields. Second, using the approach of Hajir and Maire, we construct several new examples concerning the Brauer-Siegel ratio in asymptotically good towers of number fields. These examples give smaller values of the Brauer-Siegel ratio than those given by Tsfasman and Vlăduţ
dc.identifierhttps://arxiv.org/abs/math/0411099
dc.identifierhttp://arxiv.org/abs/math/0411099
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73111
dc.subjectNumber Theory
dc.subjectAlgebraic Geometry
dc.subject11R29
dc.titleThe Brauer-Siegel and Tsfasman-Vladut Theorems for Almost Normal Extensions of Number Fields
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