  The multplicative order of an integer g modulo a prime p, with p coprime to
g, is defined to be the smallest positive integer k such that g^k is congruent
to 1 modulo p. For fixed integers g and d the distribution of this order over
residue classes mod d is considered as p runs over the primes.
  An overview is given of the most significant of my results on this problem
obtained (mainly) in the three part series of papers `On the distribution of
the order and index of g (modulo p) over residue classes' I-III (appeared in
the Journal of Number Theory, also available from the ArXiv).
