On the \(x\)-coordinates of Pell equations that are products of two Pell numbers (Q6550087)
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scientific article; zbMATH DE number 7859869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the \(x\)-coordinates of Pell equations that are products of two Pell numbers |
scientific article; zbMATH DE number 7859869 |
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On the \(x\)-coordinates of Pell equations that are products of two Pell numbers (English)
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4 June 2024
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The authors prove that the Pell equation \(x^2 - dy^2 = \pm 1\) has at most one positive integer solution \((x,y)\) with the property that \(x\) is the product of two Pell numbers. This is a variation of [\textit{B. Kafle} et al., J. Number Theory 203, 310--333 (2019; Zbl 1420.11061)].
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Pell equation
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Pell numbers
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linear forms in logarithms
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