Artin's primitive root conjecture for quadratic fields
Hans Roskam (2002)
Journal de théorie des nombres de Bordeaux
Similarity:
Fix an element in a quadratic field . Define as the set of rational primes , for which has maximal order modulo . Under the assumption of the generalized Riemann hypothesis, we show that has a density. Moreover, we give necessary and sufficient conditions for the density of to be positive.