Title: On the Diophantine equation F_{n}-F_{m}=2^{a}
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.
Publication Year: 2017
Publication Date: 2017-12-29
Language: en
Type: preprint
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