Andere Kunden interessierten sich auch für
![Class Field Theory and L Functions]( "Class Field Theory and L Functions")
Class Field Theory and L Functions112,99 €![Irrationality and Transcendence in Number Theory]( "Irrationality and Transcendence in Number Theory")
Irrationality and Transcendence in Number Theory77,99 €![Introduction to Number Theory]( "Introduction to Number Theory")
Introduction to Number Theory139,99 €![Algebraic Number Theory and Fermat's Last Theorem]( "Algebraic Number Theory and Fermat's Last Theorem")
Algebraic Number Theory and Fermat's Last Theorem113,99 €![Theory of Groups of Finite Order]( "Theory of Groups of Finite Order")
Theory of Groups of Finite Order29,99 €![Introduction to Modern Algebra and Its Applications]( "Introduction to Modern Algebra and Its Applications")
Introduction to Modern Algebra and Its Applications97,99 €![Supersingular P-Adic L-Functions, Maass-Shimura Operators and Waldspurger Formulas]( "Supersingular P-Adic L-Functions, Maass-Shimura Operators and Waldspurger Formulas")
Supersingular P-Adic L-Functions, Maass-Shimura Operators and Waldspurger Formulas50,99 €
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.
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.