Abstract
In this paper, we find all the solutions of the title Diophantine equation in positive integer variables $(m, n, k, x)$, where $F_i$ is the $i^{th}$ term of the Fibonacci sequence.
Citation
Florian Luca. Euloge Tchammou. Alain Togbé. "On the exponential Diophantine equation $F_{n}^{x}+F_{n+1}^{x}+\cdots+F_{n+k-1}^{x}=F_{m}$." Funct. Approx. Comment. Math. 66 (2) 139 - 159, June 2022. https://doi.org/10.7169/facm/1860
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