Number Theory 2: Introduction to Class Field Theory - Couverture souple

Kato, Kazuya; Kurokawa, Noboshige; Saito, Takeshi

 
9780821813553: Number Theory 2: Introduction to Class Field Theory
Couverture souple
ISBN 10 : 0821813552 ISBN 13 : 9780821813553
Editeur : American Mathematical Society, 2011

Synopsis

This book, the second of three related volumes on number theory, is the English translation of the original Japanese book. Here, the idea of class field theory, a highlight in algebraic number theory, is first described with many concrete examples. A detailed account of proofs is thoroughly exposited in the final chapter. The authors also explain the local-global method in number theory, including the use of ideles and adeles. Basic properties of zeta and $L$-functions are established and used to prove the prime number theorem and the Dirichlet theorem on prime numbers in arithmetic progressions. With this book, the reader can enjoy the beauty of numbers and obtain fundamental knowledge of modern number theory. The translation of the first volume was published as Number Theory 1: Fermat's Dream, Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics), vol. 186, American Mathematical Society, 2000.

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

À propos de l?auteur

Kazuya Kato is at the University of Chicago, IL.

Nobushige Kurokawa is at the Tokyo Institute of Technology, Japan.

Takeshi Saito is at the University of Tokyo, Japan.

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

Éditeur
American Mathematical Society
Date d'édition
2011
Langue
anglais
ISBN 10 
0821813552
ISBN 13 
9780821813553
Reliure
Broché
Nombre de pages
240
Coordonnées du fabricant
non disponible
Personne responsable
non disponible