Chebotarev Sets
Number Theory
2015-01-14 v6
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 criteria 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.
Keywords
Cite
@article{arxiv.1112.4945,
title = {Chebotarev Sets},
author = {Hershy Kisilevsky and Michael O. Rubinstein},
journal= {arXiv preprint arXiv:1112.4945},
year = {2015}
}
Comments
minor changes