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Introduction to Cyclotomic Fields by Lawrence C. Washington

Introduction to Cyclotomic Fields

by Lawrence C. Washington
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Book cover type: Paperback
  • ISBN13: 9781461273462
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 490
  • Original Price: EUR 66.95
  • Language: English
  • Edition: N/A
  • Item Weight: 759 grams
  • BISAC Subject(s): Number Theory

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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