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arxiv: math/0702441 · v2 · submitted 2007-02-15 · 🧮 math.NT

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

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keywords colemandrinfeldmodulespowerrankreciprocityserieswiles
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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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