Introduction to Cyclotomic Fields [electronic resource] /
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.
Main Authors: | , |
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Format: | Texto biblioteca |
Language: | eng |
Published: |
New York, NY : Springer New York : Imprint: Springer,
1997
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Subjects: | Mathematics., Number theory., Number Theory., |
Online Access: | http://dx.doi.org/10.1007/978-1-4612-1934-7 |
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