Class Field Theory

Paperback Engels 2008 1e druk 9780387724898
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Samenvatting

Class field theory brings together the quadratic and higher reciprocity laws of Gauss, Legendre, and others, and vastly generalizes them. This book provides an accessible introduction to class field theory. It takes a traditional approach in that it attempts to present the material using the original techniques of proof, but in a fashion which is cleaner and more streamlined than most other books on this topic. It could be used for a graduate course on algebraic number theory, as well as for students who are interested in self-study. The book has been class-tested, and the author has included lots of challenging exercises throughout the text.

Specificaties

ISBN13:9780387724898
Taal:Engels
Bindwijze:paperback
Aantal pagina's:226
Uitgever:Springer New York
Druk:1

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Inhoudsopgave

A Brief Review.- Dirichlet#x2019;s Theorem on Primes in Arithmetic Progressions.- Ray Class Groups.- The Id#x00E8;lic Theory.- Artin Reciprocity.- The Existence Theorem, Consequences and Applications.- Local Class Field Theory.

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        Class Field Theory