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Introduction to cyclotomic fields/ Lawrence C. Washington

By: Washington, Lawrence CMaterial type: Text

TextSeries: (Graduate texts in mathematics) ; 83Publication details: New York: Springer, c1997Edition: 2nd edDescription: xiv, 487 p. : ill. ; 24 cmISBN: 0387947620Subject(s): Cyclotomy | Algebraic fields | Number theory | MathematicsDDC classification: 512.74

Contents:

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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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
General Books	Central Library, Sikkim University General Book Section	512.74 LAW/I (Browse shelf(Opens below))	Checked out	05/06/2021	P25400

Total holds: 0

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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