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

DOI10.47836/mjms.18.2.09zbMATH Open1543.11019MaRDI QIDQ6585467

A. A. Abdulzahra, Hayder R. Hashim

Publication date: 9 August 2024

Published in: Malaysian Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesquadratic equationDiophantine equationsLucas sequences

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

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• On the Lucas sequence equation \(\frac{1}{U_n}=\sum_{k=1}^{\infty} \frac{U_{k-1}}{x^k} \)
• Curious properties of generalized Lucas numbers
• The Magma algebra system. I: The user language
• A curious property of the eleventh Fibonacci number
• Solutions of a generalized Markoff equation in Fibonacci numbers
• My Numbers, My Friends
• A NOTE ON THE DIOPHANTINE EQUATION
• Representations of reciprocals of Lucas sequences
• On indefinite binary quadratic forms.
• On indefinite binary quadratic forms.

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