On primes in arithmetic progression having a prescribed primitive root. II
Number Theory
2012-07-30 v1
Abstract
Let a and f be coprime positive integers. Let g be an integer. Under the Generalized Riemann Hypothesis (GRH) it follows by a result of H.W. Lenstra that the set of primes p such that p=a(mod f) and g is a primitive root modulo p has a natural density. In this note this density is explicitly evaluated with an Euler product as result.
Cite
@article{arxiv.0707.3062,
title = {On primes in arithmetic progression having a prescribed primitive root. II},
author = {Pieter Moree},
journal= {arXiv preprint arXiv:0707.3062},
year = {2012}
}
Comments
11 pages, updated and streamlined version of Max-Planck preprint MPIM1998-57 (unpublished)