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Introduction to Cyclotomic Fields
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Introduction to Cyclotomic Fields Hardcover - 1996

by Lawrence C. Washington


From the publisher

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.

From the rear cover

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.

Details

  • Title Introduction to Cyclotomic Fields
  • Author Lawrence C. Washington
  • Binding Hardcover
  • Edition 2nd
  • Pages 490
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 1996-12-05
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9780387947624 / 0387947620
  • Weight 1.85 lbs (0.84 kg)
  • Dimensions 9.51 x 6.32 x 1.1 in (24.16 x 16.05 x 2.79 cm)
  • Library of Congress subjects Algebraic fields, Cyclotomy
  • Library of Congress Catalog Number 96013169
  • Dewey Decimal Code 512.74
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Introduction to Cyclotomic Fields

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

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

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

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