ON THE DIOPHANTINE EQUATIONz2=f(x)2±f(y)2, II

DOI10.1017/S0004972710000377zbMath1223.11034OpenAlexW2076469766MaRDI QIDQ4931113

Bo He, Maciej Ulas, Alain S. Togbé

Publication date: 4 October 2010

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972710000377

zbMATH Keywords

quartic Diophantine equationtriangular numbertetrahedral numberexistence of integer solutions

Mathematics Subject Classification ID

Cubic and quartic Diophantine equations (11D25) Higher degree equations; Fermat's equation (11D41)

Related Items (5)

Unnamed Item ⋮ On the integer solutions of the Diophantine equations \(z^2=f(x)^2\pm f(y)^2\) ⋮ On certain Diophantine equations of the form \(z^2=f(x)^2\pm g(y)^2\) ⋮ Heron triangles with polynomial value sides ⋮ On the Diophantine equations \(z^2=f(x)^2 \pm f(y)^2\) involving Laurent polynomials

Cites Work

• Unnamed Item
• On the diophantine equation f(x)f(y)=f(z)²
• A family of quartic Thue inequalities

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