arXiv math/07024412007-02math.NT

Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules

Francesc Bars, Ignazio Longhi

备注：: To appear in JNT

英文摘要：

We introduce the formalism of Coleman's power series for rank 1 Drinfeld modules and apply it to formulate and prove the analogue of Wiles' explicit reciprocity law in this setting.

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