Introduction to Cyclotomic Fields, 2nd edition

Lawrence C. Washington

ISBN 10: 0387947620 / ISBN 13: 9780387947624

Edité par Springer, 1996

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Détails bibliographiques

• Titre: Introduction to Cyclotomic Fields, 2nd edition
• Éditeur: Springer
• Date de parution: 1996
• Langue: anglais
• ISBN à 10 chiffres: 0387947620
• ISBN à 13 chiffres: 9780387947624
• Reliure: Soft cover
• Édition: International Edition
• État de l'article: New
• État de la jaquette: New

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Synopsis

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.