Algebraic number theory

Jürgen Neukirch ; translated from the German by Norbert Schappacher

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.

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  • 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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書名 Algebraic number theory
著作者等 Neukirch, Jürgen
Neukirch Jurgen
Strobel E.
Schappacher Norbert
書名別名 Algebraische Zahlentheorie
シリーズ名 Die Grundlehren der mathematischen Wissenschaften
出版元 Springer
刊行年月 c1999
ページ数 xvii, 571 p.
大きさ 24 cm
ISBN 3540653996
NCID BA41483860
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言語 英語
原文言語 ドイツ語
出版国 ドイツ