Number Fields

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Author(s): I. Grojnowski, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part II Lecture Notes
Publisher: University of Cambridge
Year: 2016

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; number theory; algebra; abstract algebra; modern algebra; fields; field theory

Introduction
Number fields
Norm, trace, discriminant, numbers
Multiplicative structure of ideals
Norms of ideals
Structure of prime ideals
Minkowski bound and finiteness of class group
Dirichlet's unit theorem
L-functions, Dirichlet series*
Index