Abstract
Iwasawa [Iw 8] proved general explicit reciprocity laws extending the classical results of Artin-Hasse, for applications to the study of units in cyclotomic fields. These were extended by Coates-Wiles [CW 1] and Wiles [Wi] to arbitrary Lubin-Tate groups. Although Wiles follows Iwasawa to a large extent, it turns out his proofs are simpler because of the formalism of the Lubin-Tate formal groups. We essentially reproduce his paper in the present chapter.
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© 1978 Springer-Verlag, New York Inc.
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Lang, S. (1978). Explicit Reciprocity Laws. In: Cyclotomic Fields. Graduate Texts in Mathematics, vol 59. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9945-5_9
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DOI: https://doi.org/10.1007/978-1-4612-9945-5_9
Publisher Name: Springer, New York, NY
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