Washington, Lawrence C. creator New York Springer ©1997 2nd Ed. eng xiv, 487p. 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. Lawrence C. Washington Cyclotomic Fields 512.74 WasI 978-0387947624 260323 20260327150731.0