The number of solutions to the generalized Pillai equation .
Reese Scott, Robert Styer (2013)
Journal de Théorie des Nombres de Bordeaux
Similarity:
We consider , the number of solutions to the equation in nonnegative integers and integers , for given integers , , , and . When , we show that except for a finite number of cases all of which satisfy for each solution; when , we show that except for three infinite families of exceptional cases. We find several different ways to generate an infinite number of cases giving solutions.