Quartic Thue equations
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Publication:1038480
DOI10.1016/j.jnt.2009.07.010zbMath1214.11037OpenAlexW2079901119MaRDI QIDQ1038480
Ryotaro Okazaki, Shabnam Akhtari
Publication date: 18 November 2009
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2009.07.010
linear forms in logarithmsThue equationirreducible quartic binary form with integral coefficientsThue-Siegel principle
Thue-Mahler equations (11D59) Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25) Linear forms in logarithms; Baker's method (11J86)
Related Items (3)
UPPER BOUNDS FOR THE NUMBER OF SOLUTIONS TO QUARTIC THUE EQUATIONS ⋮ Representation of unity by binary forms ⋮ Tetranomial Thue equations
Cites Work
- Effective bounds for solutions of \(S\)-unit equations and of Thue-Mahler equations
- On Thue's equation
- An inequality for the discriminant of a polynomial
- An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
- The method of Thue–Siegel for binary quartic forms
- On the Number of Solutions of Polynomial Congruences and Thue Equations
- Estimates for reduced binary forms.
- An explicit lower bound for a homogeneous rational linear form in logarithms of algebraic numbers
- Complete solutions of a family of quartic Thue and index form equations
- On the representation of integers by binary forms
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