Introduction to cyclotomic fields/
Lawrence C. Washington
- 2nd ed.
- New York: Springer, c1997.
- xiv, 487 p. : ill. ; 24 cm.
- (Graduate texts in mathematics), 83 .
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.
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Cyclotomy Algebraic fields Number theory Mathematics