- Retrait gratuit dans votre magasin Club
- 7.000.000 titres dans notre catalogue
- Payer en toute sécurité
- Toujours un magasin près de chez vous
- Retrait gratuit dans votre magasin Club
- 7.000.000 titres dans notre catalogue
- Payer en toute sécurité
- Toujours un magasin près de chez vous
Class Field Theory and L Functions
Foundations and Main Results
Franz Halter-Koch
Livre relié | Anglais
148,95 €
+ 297 points
Description
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.
Spécifications
Parties prenantes
- Auteur(s) :
- Editeur:
Contenu
- Nombre de pages :
- 564
- Langue:
- Anglais
Caractéristiques
- EAN:
- 9781138583580
- Date de parution :
- 17-05-22
- Format:
- Livre relié
- Format numérique:
- Genaaid
- Dimensions :
- 152 mm x 236 mm
- Poids :
- 898 g
