  In this paper, we study the asymptotics of several growth functions related
to twisted conjugacy on virtually abelian groups. First, we study the twisted
conjugacy growth function, which counts the number of twisted conjugacy classes
intersecting the ball of radius r around the identity element. Thereafter we
study the function that measures the size of the intersection of a given
twisted conjugacy class with the balls around the identity element. Finally, we
study the number of induced twisted conjugacy classes in certain finite
quotients of the given virtually abelian group. In each of these cases we
obtain a polynomial asymptotic behaviour of these growth functions.
