paper

Sommes de Dedekind associées à un corps de nombres totalement réel

arXiv:math/0405262

Abstract

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 -functions. We conclude that they are ruled by Stark's conjecture.

44 pages, LaTeX