000 00412nam a2200145Ia 4500
999 _c170422
_d170422
020 _a0387947620
040 _cCUS
082 _a512.74
_bLAW/I
100 _aWashington, Lawrence C.
245 0 _aIntroduction to cyclotomic fields/
_cLawrence C. Washington
250 _a2nd ed.
260 _aNew York:
_bSpringer,
_cc1997.
300 _axiv, 487 p. :
_bill. ;
_c24 cm.
440 _a(Graduate texts in mathematics),
_v83
505 _aFermat'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.
650 _aCyclotomy
650 _aAlgebraic fields
650 _aNumber theory
650 _aMathematics
942 _cWB16