Journal ArticleDOI
Division Values in Local Fields.
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This article is published in Inventiones Mathematicae.The article was published on 1979-06-01. It has received 150 citations till now. The article focuses on the topics: Division (mathematics) & Power residue symbol.read more
Citations
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Journal ArticleDOI
Modular elliptic curves and Fermat’s Last Theorem
TL;DR: Wiles as discussed by the authors proved that all semistable elliptic curves over the set of rational numbers are modular and showed that Fermat's Last Theorem follows as a corollary by virtue of previous work by Frey, Serre and Ribet.
Book ChapterDOI
L-Functions and Tamagawa Numbers of Motives
Spencer Bloch,Kazuya Kato +1 more
TL;DR: In this paper, the authors formulate a conjecture on the values at integer points of L-functions associated to motives and show that it is compatible with isogeny, and include strong results due to one of us (Kato) for elliptic curves with complex multiplication.
Book
Local Fields and Their Extensions
Ivan Fesenko,Sergei V. Vostokov +1 more
TL;DR: In this paper, the Milnor $K$-groups of a local field is defined as the group of units of local number fields, and the Hilbert pairing on formal groups.
Representations p-adiques des corps locaux
TL;DR: In this paper, the authors introduce the notion of Representations p-adiques and /^-modules and compare them with the cases of parfaits and locaux de caracteristique.
References
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Journal ArticleDOI
Formal Complex Multiplication in Local Fields
Jonathan Lubin,John Tate +1 more
TL;DR: JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive.
Journal ArticleDOI
On some modules in the theory of cyclotomic fields
Journal ArticleDOI
On p-adic L-functions and elliptic units
John Coates,Andrew Wiles +1 more
TL;DR: In this paper, an elliptic analogue of a deep theorem of Iwasawa on cyclotomic fields was proved. But this was based on an elliptical analogue of the deep theorem in the context of subject classification.