On the Diophantine equation \(X^2 - (1 + a^2)Y^4 = - 2a\)

DOI10.1007/s11425-010-4048-xzbMath1268.11044OpenAlexW2012258710MaRDI QIDQ625821

Pingzhi Yuan, Zhongfeng Zhang

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-010-4048-x

zbMATH Keywords

elliptic curvescontinued fractionsquartic Diophantine equationsalgebraic approximations

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Thue-Mahler equations (11D59) Continued fractions (11A55) Measures of irrationality and of transcendence (11J82) Cubic and quartic Diophantine equations (11D25)

Cites Work

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• On the Diophantine Equation $Ax^4-By^2=C$, ($C=1,4$).

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