Chebotarev sets

Hershy Kisilevsky, and Michael O. Rubinstein. "Chebotarev sets." Acta Arithmetica 171.2 (2015): 97-124. <http://eudml.org/doc/279504>.

@article{HershyKisilevsky2015,
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.},
author = {Hershy Kisilevsky, Michael O. Rubinstein},
journal = {Acta Arithmetica},
keywords = {Chebotarev sets; distribution of primes; prime ideals in Frobenius classes},
language = {eng},
number = {2},
pages = {97-124},
title = {Chebotarev sets},
url = {http://eudml.org/doc/279504},
volume = {171},
year = {2015},
}

TY - JOUR
AU - Hershy Kisilevsky
AU - Michael O. Rubinstein
TI - Chebotarev sets
JO - Acta Arithmetica
PY - 2015
VL - 171
IS - 2
SP - 97
EP - 124
AB - 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.
LA - eng
KW - Chebotarev sets; distribution of primes; prime ideals in Frobenius classes
UR - http://eudml.org/doc/279504
ER -