Cyclotomic Fields I and II
Publisher: Springer; Brand: Springer
Published: Sep 30, 2012
Format: paperback
Number of pages: 460
ISBN-13: 9781461269724
Description: This book is a combined edition of the books previously published as Cyclotomic Fields, Vol. I and II. It continues to provide a basic introduction to the theory of these number fields, which are of great interest in classical number theory, as well as in other areas, such as K-theory. Cyclotomic Fields begins with basic material on character sums, and proceeds to treat class number formulas, p-adic L-functions, Iwasawa theory, Lubin-Tate theory, and explicit reciprocity laws, and the Ferrero-Washington theorems, which prove Iwasawa's conjecture on the growth of the p-primary part of the ideal class group.
Notes: Source title: Cyclotomic Fields I and II (Graduate Texts in Mathematics)