On the Diophantine equation F_{n}-F_{m}=2^{a}
Number Theory
2018-01-01 v1
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.
Keywords
Cite
@article{arxiv.1712.10138,
title = {On the Diophantine equation F_{n}-F_{m}=2^{a}},
author = {Zafer Şiar and Refik Keskin},
journal= {arXiv preprint arXiv:1712.10138},
year = {2018}
}