Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules
Number Theory
2009-02-06 v2
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.
Keywords
Cite
@article{arxiv.math/0702441,
title = {Coleman's power series and Wiles' reciprocity for rank 1 Drinfeld modules},
author = {Francesc Bars and Ignazio Longhi},
journal= {arXiv preprint arXiv:math/0702441},
year = {2009}
}
Comments
To appear in JNT