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arXiv · 0707.3062

On primes in arithmetic progression having a prescribed primitive root. II

Pieter Moree
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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.

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Pieter Moree. 2007-07-20. On primes in arithmetic progression having a prescribed primitive root. II. https://arxiv.org/abs/0707.3062

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