Elementary And Analytic Theory Of Algebraic Numbers
Publisher: Springer
Published: 2010
Number of pages: 712
ISBN-13: 9783642060106
Description: This book gives an exposition of the classical part of the theory of algebraic number theory, excluding class-field theory and its consequences. The following topics are treated: ideal theory in rings of algebraic integers, p-adic fields and their finite extensions, ideles and adeles, zeta-functions, distribution of prime ideals, Abelian fields, the class-number of quadratic fields, and factorization problems. Each chapter ends with exercises and a short review of the relevant literature up to 2003. The bibliography has over 3400 items.