3 papers
math.NT2023
Cocycles de groupe pour GL et arrangements d'hyperplans
Nicolas Bergeron, Pierre Charollois, Luis Garcia
Many authors have constructed different, but related, linear group cocycles that are usually referred to as ``Eisenstein cocycles.'' The main goal of this work is to describe a top…
math.NT2014
Arguments des unités de Stark et périodes de séries d'Eisenstein
Pierre Charollois, Henri Darmon
We describe a conjectural construction (in the spirit of Hilbert's 12th problem) of units in abelian extensions of certain base fields which are neither totally real nor CM. These…
math.NT2004
Sommes de Dedekind associées à un corps de nombres totalement réel
Pierre Charollois
We define Dedekind sums attached to a totally real number field of class number one. We prove that they satisfy some reciprocity law. Then we relate them to special values of Hecke…