Introduction to Cyclotomic Fields, First Edition

Lawrence C. Washington, "Introduction to Cyclotomic Fields, First Edition"
Sp rin ger | 1982 | ISBN: 0387906223, 3540906223 | 389 pages | File type: PDF | 16,8 mb

"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 µ-invariant.
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