A short proof of a Chebotarev density theorem for function fields

Michiel Kosters

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.

Keywords


Chebotarev density theorem; function field; ramified primes

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ISSN: 1331-0623 (Print), 1848-8013 (Online)