Aberstwyth dissertation LaTeX Template
Authors: Dr. Hannah Dee (firstname.lastname@example.org), Neil Taylor (email@example.com)
This has been adapted from the Leeds Thesis template and the
Group Project template for Computer Science in Aberystywth University.
All comments and suggestions welcome.
Template designed to be used with pdflatex: it may need alteration to
run with a different LaTeX engine.
Note - this is offered as a starting point for your work. You are not
required to use this template and can choose to create your own document
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!