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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© 1990 Springer Science+Business Media New York
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Lang, S. (1990). Explicit Reciprocity Laws. In: Cyclotomic Fields I and II. Graduate Texts in Mathematics, vol 121. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0987-4_9
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DOI: https://doi.org/10.1007/978-1-4612-0987-4_9
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6972-4
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