On the Diophantine equation F_{n}-F_{m}=2^{a}
arXiv:1712.10138
Abstract
In this paper, we solve Diophantine equation in the tittle in nonnegative integers m,n, and a. In order to prove our result, we use lower bounds for linear forms in logarithms and and a version of the Baker-Davenport reduction method in diophantine approximation.