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Introduction to Cyclotomic Fields
Lawrence C. Washington
出版Springer Science & Business Media, 1997
主題Mathematics / Algebra / GeneralMathematics / Algebra / AbstractMathematics / Geometry / GeneralMathematics / Number TheoryMathematics / Probability & Statistics / Stochastic Processes
ISBN03879476209780387947624
URLhttp://books.google.com.hk/books?id=qea_OXafBFoC&hl=&source=gbs_api
EBookSAMPLE
註釋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.