The diophantine equation \(x^ 4 - kx^ 2 y^ 2 + y^ 4 = 1\)

DOI10.1007/BF01197050zbMath0741.11018MaRDI QIDQ811629

Thomas W. Cusick

Publication date: 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

quartic diophantine equations

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25)

Related Items (4)

Nonlinear identities and Diophantine equations involving balancing-like and Lucas-balancing-like numbers ⋮ Positive integer solutions of certain Diophantine equations ⋮ A system of Pellian equations and related two-parametric family of quartic Thue equations ⋮ On squares in certain Lucas sequences

Cites Work

• Unnamed Item
• Bounding squares in second order recurrence sequences
• x⁴ + dx²y² + y²= z²: Some cases with only trivial solutions—and a solution Euler missed

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