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The Ferrero—Washington Theorems

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

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.

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© 1990 Springer Science+Business Media New York

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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

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  • 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

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