April 13, 2024Open Access

On the Jacobsthal numbers which are the product of two Modified Pell numbers

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Abstract

This paper presents an analytic study of determining all the possible solutions of the Diophantine equations such that qₖ = Jₘ Jₙ and Jₖ = qₘ qₙ. These give intersections of the Modified Pell and Jacobsthal numbers too for the case where m = 1 or n = 1.

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Cite This Study

Daşdemir et al. (Sat,) studied this question.

synapsesocial.com/papers/68e6f4cdb6db64358766f8a7 https://doi.org/https://doi.org/10.31801/cfsuasmas.1315051

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Pell and Pell–Lucas Numbers with Applications2014 · 183 citations
2The Jacobsthal and Jacobsthal-Lucas numbers via square roots of matrices2016 · 3 citations
3Jacobsthal Representation Numbers1996 · 132 citations
4A generalization of a theorem of Baker and Davenport1998 · 288 citations
5An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II2000 · 374 citations

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