On the density of primes in arithmetic progression having a prescribed primitive root
Number Theory
2007-05-23 v1
Abstract
Let a,f and g be integers, with a and f coprime. Under the generalized Riemann hypothesis it follows from work of Hooley and Lenstra that the set of primes p such that p=a(mod f) and g is primitive root mod p has a natural density. In this note we explicitly evaluate this density and give some applications of this result.
Cite
@article{arxiv.math/9912252,
title = {On the density of primes in arithmetic progression having a prescribed primitive root},
author = {Pieter Moree},
journal= {arXiv preprint arXiv:math/9912252},
year = {2007}
}