Thue's fundamental theorem. II: Further refinements and examples

DOI10.1016/j.jnt.2015.08.008zbMath1332.11069arXiv0901.1637OpenAlexW1867902223MaRDI QIDQ897537

Paul M. Voutier

Publication date: 7 December 2015

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

Full work available at URL: https://arxiv.org/abs/0901.1637

zbMATH Keywords

hypergeometric functionsdiophantine approximationeffective irrationality measures

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Homogeneous approximation to one number (11J04) Approximation to algebraic numbers (11J68) Approximation by numbers from a fixed field (11J17)

Related Items (1)

Improved constants for effective irrationality measures from hypergeometric functions

Cites Work

• Complete solution of the diophantine equation \(X^ 2+1=dY^ 4\) and a related family of quartic Thue equations
• On the method of Thue-Siegel
• A new solution of the diophantine equation \(X^ 2+1=2Y^ 4\)
• Rational approximations to \(\root 3\of 2\) and other algebraic numbers revisited
• Effective irrationality measures and approximation by algebraic conjugates
• Solving a family of Thue equations with an application to the equation x²-Dy⁴=1
• Thue's Fundamentaltheorem, I: The general case
• Simple families of Thue inequalities
• Rational approximations to algebraic numbers

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