Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Kurv
Class Field Theory and L Functions
- Foundations and Main Results
Engelsk Paperback
Class Field Theory and L Functions
- Foundations and Main Results
Engelsk Paperback

716 kr
Tilføj til kurv
Sikker betaling
6 - 8 hverdage

Om denne bog

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.
Product detaljer
Sprog:
Engelsk
Sider:
564
ISBN-13:
9781032202655
Indbinding:
Paperback
Udgave:
ISBN-10:
1032202653
Kategori:
Udg. Dato:
26 aug 2024
Længde:
34mm
Bredde:
235mm
Højde:
155mm
Forlag:
Taylor & Francis Ltd
Oplagsdato:
26 aug 2024
Forfatter(e):
Vi anbefaler også
Kategori sammenhænge