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

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.

arXiv comment11 pages, updated and streamlined version of Max-Planck preprint MPIM1998-57 (unpublished)

References in corpus (1)

• On the distribution of the order and index of g(mod p) over residue classes II

Cited by in corpus (2)

• Primes in arithmetic progressions and nonprimitive roots
• Topics In Primitive Roots