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A class–field theoretical calculation

Cristian D. Popescu — 2006

Journal de Théorie des Nombres de Bordeaux

In this paper, we give the complete characterization of the p –torsion subgroups of certain idèle–class groups associated to characteristic p 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 L –functions.

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