  Motivated by string theory corrections of dilatonic gravity and Born-Infeld
nonlinear electromagnetic field, we consider the BTZ black holes with these two
generalizations. It will be shown that the generalization to dilatonic gravity
introduces novel properties into thermodynamics of the black holes which were
absent in the purely gravity case. Furthermore, the possibility of tuning out
part of the dilatonic effects is explored in the Born-Infeld generalization.
