Math 586: Introduction to Algebraic Number Theory.
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Contents
Catalog Information
Title
Introduction to Algebraic Number Theory.
Credit Hours
3
Prerequisite
Math 372 or equivalent; instructor's consent.
Description
Algebraic integers; different and discriminant; decomposition of primes; class group; Dirichlet unit theorem; Dedekind zeta function; cyclotomic fields; valuations; completions.
Desired Learning Outcomes
Prerequisites
Math 372 is a prerequisite for this course. In particular, students should be familiar with the concepts of groups and rings, and they should understand constructions of quotient groups and quotient rings. By this point in their mathematical career, students should be skilled at proving theorems by themselves.