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On the solutions of the Lucas sequence equation \(\pm\frac{1}{V_n(P_2, Q_2)} = \sum_{k=1}^\infty\frac{U_{k-1}(P_1,Q_1)}{x^k}\) - MaRDI portal

On the solutions of the Lucas sequence equation \(\pm\frac{1}{V_n(P_2, Q_2)} = \sum_{k=1}^\infty\frac{U_{k-1}(P_1,Q_1)}{x^k}\) (Q6585467)

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scientific article; zbMATH DE number 7894873
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English
On the solutions of the Lucas sequence equation \(\pm\frac{1}{V_n(P_2, Q_2)} = \sum_{k=1}^\infty\frac{U_{k-1}(P_1,Q_1)}{x^k}\)
scientific article; zbMATH DE number 7894873

    Statements

    On the solutions of the Lucas sequence equation \(\pm\frac{1}{V_n(P_2, Q_2)} = \sum_{k=1}^\infty\frac{U_{k-1}(P_1,Q_1)}{x^k}\) (English)
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    9 August 2024
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    Lucas sequences
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    Diophantine equations
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    elliptic curves
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    quadratic equation
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