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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 73 Issue: 3

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

Ahmet Daşdemir(KASTAMONU UNIVERSITY)0000-0001-8352-2020
Mehmet Varol(KASTAMONU UNIVERSITY)0009-0008-8462-5185
Pages
—
Publication Date
2024-09-27
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

These give intersections of the Modified Pell and Jacobsthal numbers too for the case where $ m = 1 $ or $ n = 1 $.

📌 3 Key Takeaways

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Objective & Hypothesis: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} $.
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Key Findings & Data: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} $.
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Conclusion & Impact:These give intersections of the Modified Pell and Jacobsthal numbers too for the case where $ m = 1 $ or $ n = 1 $.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Modifed Pell number · Jacobsthal number · linear form in logarithm

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 $.

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Cite This Article

Daşdemir, A., Varol, M. (2024). On the Jacobsthal numbers which are the product of two Modified Pell numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 73 Issue: 3. https://doi.org/10.31801/cfsuasmas.1315051

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