A class–field theoretical calculation
Cristian D. Popescu (2006)
Journal de Théorie des Nombres de Bordeaux
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In this paper, we give the complete characterization of the –torsion subgroups of certain idèle–class groups associated to characteristic function fields. As an application, we answer a question which arose in the context of Tan’s approach [] to an important particular case of a generalization of a conjecture of Gross [] on special values of –functions.