Items related to Class Field Theory and L Functions: Foundations and...
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.
"synopsis" may belong to another edition of this title.
About the Author
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).
"About this title" may belong to another edition of this title.
Buy New
View this item
£ 86.65
FREE shipping from U.S.A. to United Kingdom
Destination, rates & speedsOther Popular Editions of the Same Title
Search results for Class Field Theory and L Functions: Foundations and...
Stock Image
CLASS FIELD THEORY AND L FUNCTIONS : FOUNDATIONS AND MAIN RESULTS, 1ST EDITION
Seller: Basi6 International, Irving, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEJUNE24-157781
Quantity: 2 available
Stock Image
An Invitation to Algebraic Numbers and Algebraic Functions
ISBN 10: 1138583588
ISBN 13: 9781138583580
New
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 381124449
Quantity: 1 available
Stock Image
Invitation to Algebraic Numbers and Algebraic Functions : Foundations and Main Results
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 37630521-n
Quantity: 10 available
Stock Image
An Invitation to Algebraic Numbers and Algebraic Functions
ISBN 10: 1138583588
ISBN 13: 9781138583580
New
Seller: Books Puddle, New York, NY, U.S.A.
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # 26381731006
Quantity: 1 available
Stock Image
An Invitation To Algebraic Numbers And Algebraic Functions
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. New copy - Usually dispatched within 4 working days. 185. Seller Inventory # B9781138583580
Quantity: 1 available
Stock Image
Invitation to Algebraic Numbers and Algebraic Functions : Foundations and Main Results
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 37630521
Quantity: 10 available
Stock Image
An Invitation to Algebraic Numbers and Algebraic Functions
ISBN 10: 1138583588
ISBN 13: 9781138583580
New
Seller: Biblios, Frankfurt am main, HESSE, Germany
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 18381730996
Quantity: 1 available
Seller Image
Class Field Theory and L Functions
Print on DemandSeller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 564 pp. Englisch. Seller Inventory # 9781138583580
Quantity: 2 available
Seller Image
CLASS FIELD THEORY & L FUNCTIO
Print on DemandSeller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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. Seller Inventory # 808751207
Quantity: Over 20 available
Stock Image
Class Field Theory and L Functions
Print on DemandSeller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 5 out of 5 stars
HRD. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L1-9781138583580
Quantity: Over 20 available