Introduction to Cyclotomic Fields
Second edition.
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Author
Publication
1997 - Springer New York, New York, NY, New York (State)
Language
English
Word Count
121,750 words, Guess
Page Count
487 pages
Physical Format
[electronic resource] /
Identifiers
- Open LibraryOL27046813M
- ISBN-139781461219347
- ISBN-101461219345
- OCLC Control Number840278266
- OCLC Control Numberintroductiontocy00wash_864
Classifications
- DDC512.7
- LCCQA241-247.5
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_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.
Subjects
Topics
Series Statement
- Graduate Texts in Mathematics, 0072-5285 -- 83
Links
Other Editions
- Introduction to Cyclotomic Fields
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