ENGLISH

Introduction to Cyclotomic Fields

By Lawrence C. Washington

Book information

Publisher
Springer
Year
1997
ISBN
1461273463, 9781461273462
Language
english
Format
PDF
Filesize
58 MB (60843514 bytes)
Series
Graduate Texts in Mathematics
Edition
2
Pages
490\504
Time added
2021-10-16 23:06:17

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.

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