Introduction to Cyclotomic Fields (Graduate Texts in Mathematics, #83)

by Lawrence C. Washington

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This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture, as well as a chapter on other recent developments, such as primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant.

  • ISBN13 9781461273462
  • Publish Date 27 September 2012 (first published 13 April 1982)
  • Publish Status Active
  • Publish Country US
  • Imprint Springer-Verlag New York Inc.
  • Edition 2nd ed. 1997. Softcover reprint of the original 2nd ed. 1997
  • Format Paperback
  • Pages 490
  • Language English