Algebraic number theory
著者
書誌事項
Algebraic number theory
(Die Grundlehren der mathematischen Wissenschaften, 322)
Springer, c1999
- タイトル別名
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Algebraische Zahlentheorie
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注記
Original German edition published: Berlin : Spriger, 1992
Includes bibliographical references (p. [551]-558) and index
内容説明・目次
内容説明
This introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class theory is particularly rich in illustrating complements, offering hints for further study, and providing concrete examples. It is the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory available.
目次
I: Algebraic Integers.- II: The Theory of Valuations.- III: Riemann-Roch Theory.- IV: Abstract Class Field Theory.- V: Local Class Field Theory.- VI: Global Class Field Theory.- VII: Zeta Functions and L-series.
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