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

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

2007-02-15

arxiv.org/abs/math/0702441v2

Mathematics

Number Theory

To appear in JNT

Scientific paper

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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