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On the density of primes in arithmetic progression having a prescribed primitive root

Pieter Moree
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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.

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Pieter Moree. 1999-12-07. On the density of primes in arithmetic progression having a prescribed primitive root. https://arxiv.org/abs/math/9912252

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