2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71182We 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.44 pages, LaTeXNumber Theorytext