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

Francesc Bars·Ignazio Longhi
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Abstract

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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Francesc Bars, Ignazio Longhi. 2009-02-06. Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules. https://arxiv.org/abs/math/0702441

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