In this paper, we do exactly what the title implies: prove the Čebotarev Density Theorem. This is an extremely valuable theorem because it is a vast generalization of Dirichlet's Theorem on primes in an arithmetic progression. Our theorem goes even further to the case of other number fields; we will show that the prime ideals in an imaginary quadratic field K are virtually equidistributed among the conjugacy classes of Artin symbols in the Galois group of a Galois extension L over K. Note that L need not be abelian over K!
Overleaf template for UC Berkeley Theses and Dissertations. Corresponds to version 3.6 of the ucbthesis class available on CTAN. Example thesis based on sample files of unknown authorship. The Current Maintainer of this work is Paul Vojta.