Introduction to Cyclotomic Fields (häftad)
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Format
Inbunden (Hardback)
Språk
Engelska
Serie
Graduate Texts in Mathematics (del 83)
Antal sidor
490
Utgivningsdatum
1996-12-05
Upplaga
2
Förlag
Springer-Verlag New York Inc.
Dimensioner
242 x 161 x 28 mm
Vikt
840 g
ISBN
9780387947624

Introduction to Cyclotomic Fields

av Lawrence C Washington
Inbunden,  Engelska, 1996-12-05
844
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Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant.

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