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" Algebraic number theory / "
Serge Lang.
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BL
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| Record Number
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627687
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dltt
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| Main Entry
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Lang, Serge,1927-2005.
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| Title & Author
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Algebraic number theory /\ Serge Lang.
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| Edition Statement
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2nd ed.
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| Publication Statement
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New York :: Springer-Verlag,, c1994.
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| Series Statement
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Graduate texts in mathematics ;; 110
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| Page. NO
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xiii, 357 p. :: ill. ;; 25 cm.
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| ISBN
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0387942254 (New York)
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: 9780387942254 (New York)
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: 3540942254 (Berlin)
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: 9783540942252 (Berlin)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 353-354) and index.
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| Contents
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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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| Subject
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Algebraic number theory.
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| LC Classification
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QA247.L29 1994
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