Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) by Lawrence C. Washington
Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) by Lawrence C. Washington
English | 2nd ed. 1997 edition (September 27, 2012) | ISBN: 1461273463 | 503 Pages | PDF | 37 MB
English | 2nd ed. 1997 edition (September 27, 2012) | ISBN: 1461273463 | 503 Pages | PDF | 37 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.