Cubic Thue inequalities with negative discriminant.

DOI10.1016/S0022-314X(02)00010-0zbMath1042.11021MaRDI QIDQ1867436

Isao Wakabayashi

Publication date: 2 April 2003

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

zbMATH Keywords

Padé approximationcontinued fractionThue inequalitymeasure of irrationalityThue equationLegendre's theorem

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Measures of irrationality and of transcendence (11J82) Diophantine inequalities (11D75)

Related Items (13)

NUMBER OF SOLUTIONS FOR QUARTIC SIMPLE THUE EQUATIONS ⋮ Number of solutions for cubic Thue equations with automorphisms ⋮ Automatic solution of families of Thue equations and an example of degree 8 ⋮ Number of solutions of cubic Thue inequalities with positive discriminant ⋮ Diagonalizable Thue equations: revisited ⋮ Klein forms and the generalized superelliptic equation ⋮ Thue's inequalities and the hypergeometric method ⋮ On a family of relative quartic Thue inequalities ⋮ On a parametric family of Thue inequalities over function fields ⋮ The Diophantine equation aX 4 – bY 2 = 1 ⋮ A parametric family of cubic Thue equations ⋮ On the family of Thue equation|x 3+mx2y−(m+3)xy2+y3|=k ⋮ Thomas' family of Thue equations over imaginary quadratic fields

Uses Software

• KANT/KASH

Cites Work

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• Verification of a conjecture of E. Thomas
• On a family of cubics
• Complete solutions to a family of cubic Diophantine equations
• On the method of Thue-Siegel
• On a family of quartic Thue inequalities. I
• KANT V4
• Solutions to certain families of Thue equations
• On a family of quartic Thue inequalities. II.
• Simple families of Thue inequalities
• Simultaneous rational approximations and related diophantine equations
• On the family of Thue equations x³ - (n-1)x²y - (n+2)xy² - y³ = k
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
• RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS

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