Class Field theory And L Functions Foundations And Main Results 1St Edition at Meripustak

Class Field theory And L Functions Foundations And Main Results 1St Edition

Books from same Author: Franz Halter-Koch

Books from same Publisher: T&F/Crc Press

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  • General Information  
    Author(s)Franz Halter-Koch
    PublisherT&F/Crc Press
    Edition1st Edition
    ISBN9781138583580
    Pages564
    BindingHardcover
    LanguageEnglish
    Publish YearMay 2022

    Description

    T&F/Crc Press Class Field theory And L Functions Foundations And Main Results 1St Edition by Franz Halter-Koch

    The book contains the main results of class field theory and Artin L functions, both for number fields and function fields, together with the necessary foundations concerning topological groups, cohomology, and simple algebras.While the first three chapters presuppose only basic algebraic and topological knowledge, the rest of the books assumes knowledge of the basic theory of algebraic numbers and algebraic functions, such as those contained in my previous book, An Invitation to Algebraic Numbers and Algebraic Functions (CRC Press, 2020).The main features of the book are:A detailed study of Pontrjagin’s dualtiy theorem.A thorough presentation of the cohomology of profinite groups.A introduction to simple algebras.An extensive discussion of the various ray class groups, both in the divisor-theoretic and the idelic language.The presentation of local and global class field theory in the algebra-theoretic concept of H. Hasse.The study of holomorphy domains and their relevance for class field theory.Simple classical proofs of the functional equation for L functions both for number fields and function fields.A self-contained presentation of the theorems of representation theory needed for Artin L functions.Application of Artin L functions for arithmetical results.