A mean value theorem of Bombieri's type
Abschätzungen für die Funktion ... (x,y) in algebraischen Zahlkörpern.
An interval result for the number field v(x,y) function.
Artin's conjecture in algebraic number fields and a related question concerning units
Artin's primitive root conjecture for quadratic fields
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.