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Algebraic number theory /

by Lang, Serge [aut].
Material type: materialTypeLabelBookSeries: Graduate texts in mathematics: 110Publisher: New York : Springer-Verlag, c1994Edition: 2nd ed.Description: xiii, 357 p. : ill. ; 25 cm.ISBN: 0387942254 (New York); 3540942254 (Berlin); 9781461269229 (softcover).Subject(s): Algebraic number theoryOnline resources: Publisher description | Table of contents only
Contents:
Algebraic integers -- Completions -- The different and discriminant -- Cyclotomic fields -- Parallelotopes -- The ideal function -- Ideles and adeles -- Elementary properties of the zeta function and L-series -- Norm index computations -- The Artin symbol, reciprocity law, and class field theory -- The existence theorem and local class field theory -- L-series again -- Functional equation of the zeta function, Hecke's proof -- Functional equation, Tate's thesis -- Density of primes and Tauberian theorem -- The Brauer-Siegel theorem -- Explicit formulas.
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Location Call number Status Date due
512.74 L2714 (Browse shelf) Checked out 20/03/2019

Includes bibliographical references (p. 353-354) and index.

Algebraic integers -- Completions -- The different and discriminant -- Cyclotomic fields -- Parallelotopes -- The ideal function -- Ideles and adeles -- Elementary properties of the zeta function and L-series -- Norm index computations -- The Artin symbol, reciprocity law, and class field theory -- The existence theorem and local class field theory -- L-series again -- Functional equation of the zeta function, Hecke's proof -- Functional equation, Tate's thesis -- Density of primes and Tauberian theorem -- The Brauer-Siegel theorem -- Explicit formulas.