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Algebraic Number Theory

Algebraic Number Theory

Paperback

Series: Graduate Texts in Mathematics, Book 110

General Mathematics

ISBN10: 1461269229
ISBN13: 9781461269229
Publisher: Springer
Published: Apr 10 2013
Pages: 357
Weight: 1.16
Height: 0.78 Width: 6.14 Depth: 9.21
Language: English
This is a second edition of Lang's well-known textbook. It covers all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties. This version can now be seen as a precursor of Arakelov theory. Part II covers class field theory, and Part III is devoted to analytic methods, including an exposition of Tate's thesis, the Brauer-Siegel

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Lang, Serge

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General Mathematics