# On the generalized Brauer-Siegel theorem for asymptotically exact families with solvable Galois closure

## TL;DR

This paper proves the generalized Brauer-Siegel conjecture for certain families of number fields with solvable Galois closures, expanding the understanding of number field asymptotics.

## Contribution

It establishes the conjecture for both asymptotically good towers and asymptotically bad families with solvable Galois closures.

## Key findings

- Proves the generalized Brauer-Siegel conjecture in new classes of number fields.
- Extends previous results to families with solvable Galois closure.
- Provides a framework for analyzing asymptotic properties of number fields.

## Abstract

In 2002, M. A. Tsfasman and S. G. Vl\u{a}du\c{t} formulated the generalized Brauer-Siegel conjecture for asymptotically exact families of number fields. In this article, we establish this conjecture for asymptotically good towers and asymptotically bad families of number fields with solvable normal closure.