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

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

1999-12-07

arxiv.org/abs/math/9912252v1

Mathematics

Number Theory

Scientific paper

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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