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Algebraic number theory / Serge Lang.

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Author/Creator:
Lang, Serge, 1927-2005.
Language:
English.
Publication date:
1994
Imprint:
2nd ed. - New York : Springer-Verlag, c1994.
Format:
  • Book
  • xiii, 357 p. : ill. ; 25 cm.
Bibliography:
Includes bibliographical references (p. 353-354) and index.
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.
Publisher's Summary:
Covers the basic material of classical algebraic number theory. This book gives the student the background useful for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms.
(source: Nielsen Book Data)
Series:
Graduate texts in mathematics ; 110.
Subjects:
ISBN:
0387942254
3540942254
9780387942254
9783540942252

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