Calculs effectifs de congruences entre caract\`eres de Dirichlet

TL;DR

This paper develops methods to compute explicit congruences between Dirichlet characters and demonstrates their application through concrete examples, enhancing computational techniques in number theory.

Contribution

It introduces effective algorithms for finding congruences between Dirichlet characters and provides practical examples of their implementation.

Findings

Algorithms for explicit congruences between Dirichlet characters

Effective computational methods demonstrated with examples

Enhanced tools for research in algebraic number theory

Abstract

This article aims to find explicit congruences between Dirichlet characters and gives various results on how to find some effectively on a computer. It ends with concrete examples putting those ideas in application.