MTH 670 - Algebraic Number Theory

(4 credits)

Algebraic number fields, integrality and Noetherian properties, Dedekind domains, extensions, ramified and non-ramified extensions, ramification in Galois extensions, class groups and units, cyclotomic fields, L-functions, Dedekind zeta-function, Brauer relations.

Prerequisite(s): Student must meet prerequisite (MTH 571).

Course updates made after the Graduate Catalog publication date will be posted in the Addendum to the Graduate Catalog.