Introduction to cyclotomic fields
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Author
Publication
1982 - Springer-Verlag, New York, New York (State)
Language
English
Word Count
97,250 words, Guess
Page Count
389 pages
Identifiers
- Open LibraryOL3481413M
- ISBN-100387906223
- OCLC Control Number8195163
- OCLC Control Numberintroductiontocy00wash_504
- Library of Congress Control Number82000755
and 1 more
- Goodreads3721446
Classifications
- DDC512/.3
- LCCQA247 .W35 1982
Description
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[subscript 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 [mu]-invariant.
Subjects
Topics
Series Statement
- Graduate texts in mathematics ;
Other Editions
- Introduction to cyclotomic fields
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