Special Cases of Density Theorems in Algebraic Number Theory

Gaertner, Nathaniel Allen2014-03-142014-03-142006-05-09etd-05232006-115507http://hdl.handle.net/10919/33153This 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.In CopyrightCheboterevDirichletDensityNumber TheoryAlgebraic Number TheoryFrobeniusSpecial Cases of Density Theorems in Algebraic Number TheoryThesishttp://scholar.lib.vt.edu/theses/available/etd-05232006-115507/