Washington, Lawrence C.

Introduction to Cyclotomic Fields/ Lawrence C. Washington - 2nd Ed. - New York: Springer, ©1997. - xiv, 487p. - Graduate Texts in Mathematics .

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.

978-0387947624


Cyclotomic Fields

512.74 / WasI