Hayat Bensella, Bijan Kumar Patel, Djilali Behloul
Published 2022-05-26Version 1
In this paper, we explicitly find all solutions of the title Diophantine equation, using lower bounds for linear forms in logarithms and properties of continued fractions. Further, we use a version of the Baker-Davenport reduction method in Diophantine approximation, due to Dujella and Peth\"o. This paper extends the previous work of \cite{Patel}.
On solutions of the Diophantine equation $L_n+L_m=3^a$
An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers
On the exponential Diophantine equation related to powers of two consecutive terms of Lucas sequences
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