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!
This template is derived from the GigaScience LaTeX template for Technical Report submission. The original template is now customised to GigaBytes requirement and can be used to submit Technical Report for GigaBytes. Overleaf and Oxford University Press (OUP) have created the initial template for authors submitting manuscripts to GigaScience and this template is derived from that work and customised for the requirement of this report by the journal production team.
This template allows authors to prepare and edit their manuscripts in the OUP 'contemporary' layout used by GigaBytes.
To begin writing, simply click the Open as Template button, above. Additional guidelines for preparing your submission are included within the template itself.
River Valley Technologies Ltd and GigaScience