Computing higher rank primitive root densities

P. Moree, and P. Stevenhagen. "Computing higher rank primitive root densities." Acta Arithmetica 163.1 (2014): 15-32. <http://eudml.org/doc/279318>.

@article{P2014,
abstract = {We extend the "character sum method" for the computation of densities in Artin primitive root problems given by Lenstra and the authors to the situation of radical extensions of arbitrary rank. Our algebraic set-up identifies the key parameters of the situation at hand, and obviates the lengthy analytic multiplicative number theory arguments that used to go into the computation of actual densities. It yields a conceptual interpretation of the formulas obtained, and enables us to extend their range of application in a systematic way.},
author = {P. Moree, P. Stevenhagen},
journal = {Acta Arithmetica},
keywords = {Artin's conjecture; primitive roots},
language = {eng},
number = {1},
pages = {15-32},
title = {Computing higher rank primitive root densities},
url = {http://eudml.org/doc/279318},
volume = {163},
year = {2014},
}

TY - JOUR
AU - P. Moree
AU - P. Stevenhagen
TI - Computing higher rank primitive root densities
JO - Acta Arithmetica
PY - 2014
VL - 163
IS - 1
SP - 15
EP - 32
AB - We extend the "character sum method" for the computation of densities in Artin primitive root problems given by Lenstra and the authors to the situation of radical extensions of arbitrary rank. Our algebraic set-up identifies the key parameters of the situation at hand, and obviates the lengthy analytic multiplicative number theory arguments that used to go into the computation of actual densities. It yields a conceptual interpretation of the formulas obtained, and enables us to extend their range of application in a systematic way.
LA - eng
KW - Artin's conjecture; primitive roots
UR - http://eudml.org/doc/279318
ER -