Skip to main content

The Ferrero—Washington Theorems

  • Chapter
Cyclotomic Fields I and II

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 121))

  • 3493 Accesses

Abstract

In this chapter we prove that the Iwasawa congruences cannot be satisfied, thus giving a bound for the divisibility of Bernoulli numbers with characters, and hence a bound for the divisibility of the corresponding class numbers with respect to certain primes.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer Science+Business Media New York

About this chapter

Cite this chapter

Lang, S. (1990). The Ferrero—Washington Theorems. In: Cyclotomic Fields I and II. Graduate Texts in Mathematics, vol 121. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0987-4_11

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0987-4_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6972-4

  • Online ISBN: 978-1-4612-0987-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics