On the Diophantine equation F_{n}-F_{m}=2^{a}

Zafer Şiar; Refik Keskin

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arXiv · 1712.10138

On the Diophantine equation F_{n}-F_{m}=2^{a}

Zafer Şiar·Refik Keskin

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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.

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Zafer Şiar, Refik Keskin. 2017-12-29. On the Diophantine equation F_{n}-F_{m}=2^{a}. https://arxiv.org/abs/1712.10138

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