Class Field Theory and L Functions: Foundations and Main Results - Couverture rigide

Halter-Koch, Franz

 
9781138583580: Class Field Theory and L Functions: Foundations and Main Results
Couverture rigide
ISBN 10 : 1138583588 ISBN 13 : 9781138583580
Editeur : CRC Press, 2022

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

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).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press
Date d'édition
2022
Langue
anglais
ISBN 10 
1138583588
ISBN 13 
9781138583580
Reliure
Relié
Nombre de pages
564
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne

Autres éditions populaires du même titre

9781138583610: An Invitation to Algebraic Numbers and Algebraic Functions

Edition présentée

ISBN 10 :  1138583618 ISBN 13 :  9781138583610
Editeur : CRC Press, 2020
Couverture rigide