Sommes de Dedekind associ\'ees \`a un corps de nombres totalement r\'eel

Pierre Charollois

Sommes de Dedekind associ\'ees \`a un corps de nombres totalement r\'eel

Number Theory 2007-05-23 v1

Authors: Pierre Charollois

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.

Keywords

Dedekind sums totally real number fields class number one reciprocity law Hecke L-functions Stark's conjecture

Cite

@article{arxiv.math/0405262,
  title  = {Sommes de Dedekind associ\'ees \`a un corps de nombres totalement r\'eel},
  author = {Pierre Charollois},
  journal= {arXiv preprint arXiv:math/0405262},
  year   = {2007}
}

Comments

44 pages, LaTeX

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