Special Cases of Density Theorems in Algebraic Number Theory

This paper discusses the concepts in algebraic and analytic number theory used in the proofs of Dirichlet's and Cheboterev's density theorems. It presents special cases of results due to the latter theorem for which greatly simplified proofs exist.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2006

Author dc:creator

• Gaertner, Nathaniel Allen

Chair dc:contributor.committeechair

• Farkas, Daniel R.

Committee members dc:contributor.committeemember

• Parry, Charles J.
• Elder, Griff

• Cheboterev
• Dirichlet
• Density
• Number Theory
• Algebraic Number Theory
• Frobenius

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-05232006-115507

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/33153