Abstract
In this paper, we investigate the common terms of the Leonardo \(\{ Le_n\}_{n \ge 0}\) and Jacobsthal \(\{ J_{m} \}_{m \ge 0}\) sequences. To accomplish this, we use Baker’s theory of linear forms in logarithms of algebraic numbers along with a variation of the Baker-Davenport reduction method to solve the Diophantine equation \(Le_n=J_m\).
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The authors express their sincere gratitude to the referee for their careful reading of the manuscript and many useful comments that improved the quality of the paper.
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Bensella, H., Behloul, D. Common terms of Leonardo and Jacobsthal numbers. Rend. Circ. Mat. Palermo, II. Ser 73, 259–265 (2024). https://doi.org/10.1007/s12215-023-00920-5
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DOI: https://doi.org/10.1007/s12215-023-00920-5