Chebotarev sets
Volume 171 / 2015
Acta Arithmetica 171 (2015), 97-124
MSC: Primary 11N13, 11R44; Secondary 11M06.
DOI: 10.4064/aa171-2-1
Abstract
We consider the problem of determining whether a set of primes, or, more generally, prime ideals in a number field, can be realized as a finite union of residue classes, or of Frobenius conjugacy classes. We give necessary conditions for a set to be realized in this manner, and show that the subset of primes consisting of every other prime cannot be expressed in this way, even if we allow a finite number of exceptions.
