A new solution of the diophantine equation \(X^ 2+1=2Y^ 4\)

DOI10.1006/jnth.1994.1052zbMath0814.11021OpenAlexW2029724943MaRDI QIDQ1333250

Jian-Hua Chen

Publication date: 17 October 1994

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

Full work available at URL: https://doi.org/10.1006/jnth.1994.1052

zbMATH Keywords

upper boundThue equationquartic diophantine equationPadé approximations to algebraic functionsThue-Siegel method

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Cubic and quartic Diophantine equations (11D25)

Related Items (5)

Computational complexity of logical theories of one successor and another unary function ⋮ Simplifying method for algebraic approximation of certain algebraic numbers ⋮ Thue's fundamental theorem. II: Further refinements and examples ⋮ The Galois group of \(X^p+aX^{p - 1}+a\) ⋮ Simple families of Thue inequalities

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