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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
📌 3 Key Takeaways
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Objective & Hypothesis:: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
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Key Findings & Data:: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
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Conclusion & Impact:: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
: In this paper, we show that there is at most one value of the positive integer X participating in the Pellequation $X^2-dY^2=k$ , where k ∈ {±1, ±4} , which is a Padovan number, with a few exceptions that we completely characterize.
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Cite This Article
RIHANE, S. E., HERNANE, M. O., TOGBE, A. (2022). The X-coordinates of Pell equations and Padovan numbers. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 1, 207–223. https://ajindex.com/articles/607678