The extendibility of Diophantine pairs. II: Examples

DOI10.1016/j.jnt.2014.06.020zbMath1308.11033OpenAlexW2046789020MaRDI QIDQ741706

Alan Filipin, Yasutsugu Fujita, Alain S. Togbé

Publication date: 12 September 2014

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.06.020

zbMATH Keywords

simultaneous Diophantine equationsDiophantine tuples

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Approximation to algebraic numbers (11J68)

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Cites Work

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• A corollary to a theorem of Laurent-Mignotte-Nesterenko
• A proof of the Hoggatt-Bergum conjecture
• There are only finitely many Diophantine quintuples
• The number of Diophantine quintuples II
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
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