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Graduate Texts in Mathematics

Introduction to Cyclotomic Fields

Authors: Washington, Lawrence C.

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eBook $69.99
price for Mexico (gross)
  • ISBN 978-1-4612-1934-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover $89.95
price for Mexico
  • ISBN 978-0-387-94762-4
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  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for Mexico
  • ISBN 978-1-4612-7346-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

Table of contents (16 chapters)

  • Fermat’s Last Theorem

    Washington, Lawrence C.

    Pages 1-8

  • Basic Results

    Washington, Lawrence C.

    Pages 9-19

  • Dirichlet Characters

    Washington, Lawrence C.

    Pages 20-29

  • Dirichlet L-series and Class Number Formulas

    Washington, Lawrence C.

    Pages 30-46

  • p-adic L-functions and Bernoulli Numbers

    Washington, Lawrence C.

    Pages 47-86

Buy this book

eBook $69.99
price for Mexico (gross)
  • ISBN 978-1-4612-1934-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for Mexico
  • ISBN 978-0-387-94762-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for Mexico
  • ISBN 978-1-4612-7346-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Cyclotomic Fields
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
83
Copyright
1997
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1934-7
DOI
10.1007/978-1-4612-1934-7
Hardcover ISBN
978-0-387-94762-4
Softcover ISBN
978-1-4612-7346-2
Series ISSN
0072-5285
Edition Number
2
Number of Pages
XIV, 490
Topics