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.Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermata#39;s Last Theorem, and Iwasawaa#39;s theory of Z_p-extensions, leading the reader to an understanding of modern research literature.

Title | : | Introduction to Cyclotomic Fields |

Author | : | Lawrence C. Washington |

Publisher | : | Springer Science & Business Media - 1997 |

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