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

Alexey Zykin

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{…