Stickelberger's congruences for absolute norms of relative discriminants

TL;DR

This paper improves a classical result on Stickelberger's congruences related to the absolute norms of relative discriminants of number fields, utilizing classical class field theory techniques.

Contribution

It provides an enhanced version of Martinet's result on Stickelberger's congruences through classical class field theory methods.

Findings

Improved congruence relations for absolute norms of relative discriminants.

Enhanced understanding of number field discriminants via class field theory.

Refined theoretical framework for discriminant analysis.

Abstract

We give an improvement of a result of J. Martinet on Stickelberger's congruences for the absolute norms of relative discriminants of number fields, by using classical arguments of class field theory.