Abstract :
For a fixed rational number gnegated set membership{-1,0,1} and integers a and d we consider the set Ng(a,d) of primes p for which the order of image is congruent to image. For d=4 and 3 we show that, under the generalized Riemann hypothesis (GRH), these sets have a natural density δg(a,d) and compute it. The results for d=4 generalise earlier work by Chinen and Murata. The case d=3 was apparently not considered before.
