Sommes de Dedekind associées à un corps de nombres totalement réel

Details Sommes de Dedekind associées à un corps de nombres totalement réel Sommes de Dedekind associées à un corps de nombres totalement réel

2004-05-13

arxiv.org/abs/math/0405262v1

Mathematics

Number Theory

44 pages, LaTeX

Scientific paper

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

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