Elementary and analytic theory of algebraic numbers
This book gives an exposition of the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences.The following topics are treated: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions,...
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| 1. Verfasser: | |
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Berlin, Heidelberg u.a.
Springer
2004
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| Ausgabe: | 3rd ed. |
| Schriftenreihe: | Springer monographs in mathematics
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| Schlagworte: | |
| Online Zugang: | Verlagsangaben Inhaltsverzeichnis Kapitel 1 Cover Inhaltstext |
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| Zusammenfassung: | This book gives an exposition of the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences.The following topics are treated: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. Each chapter ends with exercises and a short review of the relevant literature up to 2003. The bibliography has over3400 items. TOC:Dedekind Domains and Valuations.- Algebraic Numbers and Integers.- Units and Ideal Classes.- Extensions.- P-adic Fields.- Applications of the Theory of p-adic Fields.- Analytical Methods.- Abelian Fields.- Factorizations |
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| Beschreibung: | Literaturverz. S. [535] - 683 |
| Beschreibung: | X, 708 S. 24 cm |
| ISBN: | 3540219021 3-540-21902-1 |