On the diophantine equations Jₙ + Jₘ = Lₖ and Lₙ + Lₘ = Jₖ
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Abstract
This study contains Lucas numbers that are sums of two Jacobsthal numbers and Jacobsthal numbers that are sums of two Lucas numbers. Our main conclusions are confirmed by a refinement of Baker's theorem for linear forms in logarithms and the reduction method of Dujella and Petho's.
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Salah, O., Ahmed Elsonbaty, Mohamed Anwar, & Mohammed Abd-El Azim Seoud. (2026). On the diophantine equations Jₙ + Jₘ = Lₖ and Lₙ + Lₘ = Jₖ. Gulf Journal of Mathematics, 22(1), 1-15. https://doi.org/10.56947/gjom.v22i1.3814
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