Franz Halter-Koch

Class Field Theory and L Functions (eBook, PDF)

Foundations and Main Results

• Format: PDF

Produktbeschreibung

Through a set of related yet distinct texts, the author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions: Ideal- and valuation-theoretic aspects, L functions and class field theory, with a presentation of algebraic foundations which are usually undersized in standard algebra courses.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 584
• Erscheinungstermin: 13. März 2022
• Englisch
• ISBN-13: 9780429014734
• Artikelnr.: 63489275

Autorenporträt

Franz Halter-Koch is professor emeritus at the University of Graz, Graz, Austria. He is the author of Ideal Systems (Marcel Dekker,1998), Quadratic Irrationals (CRC, 2013), co-author of Non-Unique Factorizations (CRC 2006), and An Invitation to Algebraic Numbers and Algebraic Functions (CRC Press, 2020).

Inhaltsangabe

1. Topological groups and infinite Galois theory



2. Cohomology of groups



3. Simple algebras



4. Local class field theory



5. Global fields: Adeles, ideles and holomorphy domains



6. Global class field theory



7. Functional equations and Artin L functions