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

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

2007-07-20

arxiv.org/abs/0707.3062v1

Mathematics

Number Theory

11 pages, updated and streamlined version of Max-Planck preprint MPIM1998-57 (unpublished)

Scientific paper

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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