Elementary and analytic theory of algebraic numbers Władysław Narkiewicz

By: Narkiewicz, Władysław [VerfasserIn]
Material type: TextTextLanguage: English Series: Springer monographs in mathematicsPublisher: Berlin [u.a.] Springer 2004Edition: 3rd edDescription: X, 708 S. 24 cmISBN: 3540219021Subject(s): Algebraische Zahlentheorie | Algebraic number theory | Algebraic number theory | Algebraische Zahlentheorie | Einführung | Genre/Form: Einführung DDC classification: 512.7/4 | 510 LOC classification: QA247Other classification: 31.14 | 17,1 | mat Online resources: Publisher description | Inhaltsverzeichnis Inhaltsverzeichnis | Inhaltsverzeichnis | Verlagsangaben | Inhaltsverzeichnis | Zentralblatt MATH Inhaltstext Summary: 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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Literaturverz. S. [535] - 683

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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