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arXiv:1811.03015 [math.NT]AbstractReferencesReviewsResources

An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

Salah E. Rihane, Bernadette Faye, Florian Luca, Alain Togbe

Published 2018-11-02Version 1

In this paper, we find all solutions of the exponential Diophantine equation $B_{n+1}^x-B_n^x=B_m$ in positive integer variables $(m, n, x)$, where $B_k$ is the $k$-th term of the Balancing sequence.

Comments: Comments are welcome
Categories: math.NT
Subjects: 11B39, 11J86
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