Introduction to Cyclotomic Fields

Author: , Date: 06 Sep 2012, Views:

Published: 1982-04-13 | ISBN: 3540906223, 0387906223 | DJVU | 389 pages | 3 MB

This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat��s Last Theorem, and Iwasawa��s theory of Z_p-extensions. This edition contains a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture, as well as a chapter on other recent developments, such as primality testing via Jacobi sums and Sinnott��s proof of the vanishing of Iwasawa��s f-invariant.

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