TY - BOOK AU - Washington, Lawrence C. TI - Introduction to cyclotomic fields SN - 0387947620 U1 - 512.74 PY - 1997/// CY - New York PB - Springer KW - Cyclotomy KW - Algebraic fields KW - Number theory KW - Mathematics N1 - Fermat's last theorem -- Basic results -- Dirichlet characters -- Dirichlet L-series and class number formulas -- p-adic L-functions and Bernoulli numbers -- Stickelbergers's theorem -- Iwasawa's construction of p-adic L-functions -- Cyclotomic units -- The second case of Fermat's last theorem -- Galois groups acting on ideal class groups -- Cyclotomic fields of class number one -- Measures and distributions -- Iwasawa's theory of Zp-extensions -- The Kronecker-Weber theorem -- The main conjecture and annihilation of class groups -- Miscellany -- Appendix -- Tables ER -