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

Year 2024, Volume: 73 Issue: 3, 604 - 610, 27.09.2024

Ahmet Daşdemir , Mehmet Varol

https://doi.org/10.31801/cfsuasmas.1315051

Abstract

This paper presents an analytic study of determining all the possible solutions of the Diophantine equations such that $ {q_k} = {J_m} {J_n} $ and $ {J_k} = {q_m} {q_n} $. These give intersections of the Modified Pell and Jacobsthal numbers too for the case where $ m = 1 $ or $ n = 1 $.

Keywords

Modifed Pell number, Jacobsthal number, linear form in logarithm, reduction method

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