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Introduction to Cyclotomic Fields

by Lawrence C. Washington

  • ISBN: 9780387947624
  • ISBN10: 0387947620

Introduction to Cyclotomic Fields

by Lawrence C. Washington

  • List Price: $89.95
  • Binding: Hardcover
  • Edition: 2
  • Publisher: Springer Verlag
  • Publish date: 06/01/1997
  • ISBN: 9780387947624
  • ISBN10: 0387947620
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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.
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