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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
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Key Findings & Data:In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
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Conclusion & Impact:In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Pell numbers · linear form in logarithms · reduction method
Abstract
In this paper, we find all the solutions of the title Diophantine equation in nonnegative integer variables $(m, n, x)$, where $P_k$ is the $k$th term of the Pell sequence.
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Cite This Article
RIHANE, S. E., FAYE, B., LUCA, F., TOGBE, A. (2019). On the exponential Diophantine equation $P_n^x+P_{n+1}^x=P_m$. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 3, 1640–1649. https://ajindex.com/articles/185581