A short proof of a Chebotarev density theorem for function fields

2014/04/25 by Michiel Kosters, Kosters, Michiel
Mathematics · #11R45 #11R58 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:11R45 #msc:11R58

paper · pdf · doi:10.48550/arxiv.1404.6345

6 pages, rewritten most of the paper

arxiv created 2016/06/27 · arxiv updated 2016/06/28

Abstract

In this article we discuss a version of the Chebotarev density for function fields over perfect fields with procyclic absolute Galois groups. Our version of this density theorem differs from other versions in two aspects: we include ramified primes and we do not have an error term.

Related

• An effective version of Chebotarev's density theorem
• Primes in the Chebotarev density theorem for all number fields
• An effective Chebotarev density theorem for families of number fields, with an application to ℓ-torsion in class groups
• A new bound on the relative error in the Chebotarev density theorem
• The Chebotarev density theorem for function fields -- incomplete intervals