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Sommes de Dedekind associées à un corps de nombres totalement réel

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

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Pierre Charollois. 2004-05-13. Sommes de Dedekind associées à un corps de nombres totalement réel. https://arxiv.org/abs/math/0405262

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