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

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

2004-11-04

arxiv.org/abs/math/0411099v1

Mathematics

Number Theory

Scientific paper

The 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-Vl\u{a}du\c{t} 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 Vl\u{a}du\c{t}

Affiliated with

Also associated with

No associations

Rating

The Brauer-Siegel and Tsfasman-Vladut Theorems for Almost Normal Extensions of Number Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Brauer-Siegel and Tsfasman-Vladut Theorems for Almost Normal Extensions of Number Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Brauer-Siegel and Tsfasman-Vladut Theorems for Almost Normal Extensions of Number Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-498454