Introduction to Cyclotomic Fields

Released on by Lawrence C. Washington
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  • Introduction to Cyclotomic Fields Book Detail

  • Author : Lawrence C. Washington
  • Release Date : 2012-12-06
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 504
  • ISBN 13 : 1461219345
  • File Size : 93,93 MB
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Introduction to Cyclotomic Fields by Lawrence C. Washington PDF Summary

Book Description: 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.

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